Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Level: Medium
i) $100 minus 16 y squared$

hint Hint:

using the formula $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$ factorize the given expressions.

The correct answer is: 4 (5 - 2y) (5 + 2y)

Ans :- i) 4(5 - 2y) (5 + 2y)
Given, $100 minus 16 y squared$
Taking out common factor 4 out of equation , we get $4 open parentheses 25 minus 4 y squared close parentheses$
Write $4 y squared text as end text left parenthesis 2 y right parenthesis squared text and end text 25 text as end text left parenthesis 5 right parenthesis squared text we get end text 4 open parentheses left parenthesis 5 right parenthesis squared minus left parenthesis 2 y right parenthesis squared close parentheses$
Applying $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$
Here $a equals 2 x space semicolon space b equals 3$
We get , $100 minus 16 y squared equals 4 left parenthesis 5 minus 2 y right parenthesis left parenthesis 5 plus 2 y right parenthesis$
∴ 4(5-2y)(5+2y) is the factorized form of the given expression.

Related Questions to study

The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)

The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)

For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)

For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)

In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
$x squared minus 20 x plus 100$

In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
$x squared minus 20 x plus 100$

parallel

A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?

A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?

In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
$A equals x squared minus 4 y squared$

In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
$A equals x squared minus 4 y squared$

A cone of height 11 ft has a radius 7 ft, find its volume in cubic meter?

A cone of height 11 ft has a radius 7 ft, find its volume in cubic meter?

parallel

Write the factored form of the given expression.
$3 x squared plus 30 x plus 75$

Write the factored form of the given expression.
$3 x squared plus 30 x plus 75$

A cone of height 9 Inch has a radius 4 inch , find its volume in cm?

A cone of height 9 Inch has a radius 4 inch , find its volume in cm?

The height of cone is 30 cm. A small cone is cut off from the top portion by a plane parallel to the base. If the volume be ( $1 over 27$ ) of the volume of the given cone, at what height above the base is the section made ?

The height of cone is 30 cm. A small cone is cut off from the top portion by a plane parallel to the base. If the volume be ( $1 over 27$ ) of the volume of the given cone, at what height above the base is the section made ?

parallel

In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why
$A equals x squared plus 32 x plus 256$

In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why
$A equals x squared plus 32 x plus 256$

Write the factored form of the given expression.
$72 x squared minus 32$

Write the factored form of the given expression.
$72 x squared minus 32$

A cone of height 24 cm has a surface area 550 sq.cm, find its volume?

A cone of height 24 cm has a surface area 550 sq.cm, find its volume?

parallel

Factor the given expression completely.
$2 x cubed plus 32 x squared plus 128 x$

Factor the given expression completely.
$2 x cubed plus 32 x squared plus 128 x$

What is the side length of the square shown below? The area of the square is given.

What is the side length of the square shown below? The area of the square is given.

The area of the slant surface of a cone is 3080 sq. m. If the radius of its base is 28 m, find its height ?

The area of the slant surface of a cone is 3080 sq. m. If the radius of its base is 28 m, find its height ?

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.