Maths-
General
Easy
Question
Factor the polynomial as the product of binomials.
![x squared minus 1 over 9](data:image/png;base64,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)
Hint:
using the formula
factorize the given expressions.
The correct answer is: (x-1/3)(x+1/3) is the required product of binomials.
Ans :-
is the required product of binomials.
Given , ![x squared minus 1 over 9](data:image/png;base64,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)
Write ![text end text 1 over 9 text as end text open parentheses 1 third close parentheses squared text then we get end text x squared minus open parentheses 1 third close parentheses squared](data:image/png;base64,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)
As ![a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis](data:image/png;base64,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)
Here a = x and b = ![1 third](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAKNJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLcATibUD8DYh/APEtIJ4AxMKkGrQfiIOAmA1JzACId1DLpZ+oYYgSEN+gxABxIE6EhpMXNbJMAaVeEgTiACA+CcT21AgjHqhhVAE/qGGIHjTASQIHgTgUiFmAmAma0u8DcTypBtkC8RaoV35AU7oPPg0ArQs4erRAu/EAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MzwvbW4+PC9tZnJhYz48L21hdGg+q+QgMwAAAABJRU5ErkJggg==)
![x squared minus 1 over 9 equals open parentheses x minus 1 third close parentheses open parentheses x plus 1 third close parentheses](data:image/png;base64,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)
∴
is the required product of binomials.
Related Questions to study
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A triangle having sides equal to 7cm, 24cm and 25cm forms a cone when revolved about 24cm side. What is the volume of a cone formed?
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Maths-General
Maths-
What is the factored form of ![4 x cubed plus 24 x squared plus 36 x space ?](data:image/png;base64,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)
What is the factored form of ![4 x cubed plus 24 x squared plus 36 x space ?](data:image/png;base64,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)
Maths-General
Maths-
If the area of 1 face is 81 how much is the surface area of the whole cube?
If the area of 1 face is 81 how much is the surface area of the whole cube?
Maths-General
Maths-
calculate the surface area of a cube with a side of 4 mm
calculate the surface area of a cube with a side of 4 mm
Maths-General
Maths-
Ratio of volume of a cone to the volume of a cylinder for same base radius and
same height is __________
Ratio of volume of a cone to the volume of a cylinder for same base radius and
same height is __________
Maths-General
Maths-
Find the Total surface area if the given dimensions are 6 cm,4cm, and 5 cm.
Find the Total surface area if the given dimensions are 6 cm,4cm, and 5 cm.
Maths-General
Maths-
Factor the given expression.
![9 x squared minus 100](data:image/png;base64,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)
Factor the given expression.
![9 x squared minus 100](data:image/png;base64,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)
Maths-General
Maths-
Factor the polynomial as the product of binomials.
![x squared plus x plus 1 fourth](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAAAjCAYAAAAHUl3/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAXtJREFUeNpjYBgF+IAaENcC8YXRoKAMLAbiNCD+PxoU1AGjATkakKMBORqQo4DOAfkfin8B8VEgVhkNSMoAExBnAfG50YCkDvgxGpCUA3sgPjgakJQBSWgZqTTMAxAdU70PugUamKOAgpS4DYj5hkB7bEDaf8lA3IFFvBkqBwOgQNSgg8eIdc+gbEiDmjLiSPxEIJ5CxXLjPw3cMygD0gOI+6BsFyDeO8BZjVL3DGjXbje0WQMazBSmQa1HamomxT2U2PefTIwTFEC7f3qDpPCnxD0DliKtgXgNNDtFDoKApNQ9AxKQoIb1JiDmAmIeID5DhaxNiceo4R66B6QotFmD7FAfBsicxUAEJLXcQ9eAZAPidUAsjUVuObTmHMnuGQVUBD4Mo6PkFANQ+XxtNCApBzOhXdLRgKSwObh3MPSShjIAVXqXgFh+NCApA6CRp5zB0m8fqgDUHT06mAZAhio4yYA5zTwakGT2wCgZsRoFg6nfPhqQo4D8gAQAZWiLBm6uBYUAAAChdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtaT54PC9taT48bW8+KzwvbW8+PG1mcmFjPjxtbj4xPC9tbj48bW4+NDwvbW4+PC9tZnJhYz48L21hdGg+OKlH8AAAAABJRU5ErkJggg==)
Factor the polynomial as the product of binomials.
![x squared plus x plus 1 fourth](data:image/png;base64,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)
Maths-General
Maths-
Factor the given expression.
![x squared minus 64](data:image/png;base64,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)
Factor the given expression.
![x squared minus 64](data:image/png;base64,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)
Maths-General
Maths-
A cone has slanted height of 5cm and height of 4cm, its volume (in cm3 ) is
__________
A cone has slanted height of 5cm and height of 4cm, its volume (in cm3 ) is
__________
Maths-General
Maths-
Factor the polynomial as the product of binomials.
![p squared minus 49 over 100](data:image/png;base64,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)
Factor the polynomial as the product of binomials.
![p squared minus 49 over 100](data:image/png;base64,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)
Maths-General
Maths-
What is the volume of a cone having radius of 21cm and height of 5cm?
What is the volume of a cone having radius of 21cm and height of 5cm?
Maths-General
Maths-
What is the radius of a cylinder that has a height of 3 in. and a volume of
?
What is the radius of a cylinder that has a height of 3 in. and a volume of
?
Maths-General
Maths-
How can you determine if a binomial of the form
is factorable using rational constants?
How can you determine if a binomial of the form
is factorable using rational constants?
Maths-General
Maths-
Volume of a right circular cone of radius r and height h is given by __________
Volume of a right circular cone of radius r and height h is given by __________
Maths-General