Maths-
General
Easy
Question
Factor the polynomial as the product of binomials.
![p squared minus 49 over 100](data:image/png;base64,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)
Hint:
using the formula
factorize the given expressions.
The correct answer is: (p-7/10)(p+7/10) is the required product of binomialseses open parentheses p plus 7 over 10 close parentheses is the required product of binomials.
Ans :-
is the required product of binomials.
Given , ![p squared minus 49 over 100](data:image/png;base64,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)
Write
then we get ![p squared minus open parentheses 7 over 10 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 = p and b = ![7 over 10](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABwAAAAjCAYAAACHIWrsAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAPBJREFUeNpjYCAe/CeA6QZCgXg2vSwTB+LDQMxBLws3AbEBvSzLAOJaelkmD8QngZiFXhYeBGJHeqbKbfSyjAmIb9AzoQRAg5NuYDkQJ9LTwpdALMgwCkbBQIH/NMajYBTQBqhBmxEX8KjhA+Jp0BYACM+EipEFFgNxGoFkvReI/ZD4PlAxivMortp/EhbxCUAcSQsL1wCxGxZxR6gc1S18B8RsWMTZoHUn1S38g0fPL3pb+IMWFr7EEaQctApSUMLwwCLuRqtEE4SjqzafVtkCBPYDcQG0nwEK3mpK2q7EVKSgZuNcaCL5Bi3aeHAZCAC4rlXLM2ot8QAAAGN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1uPjc8L21uPjxtbj4xMDwvbW4+PC9tZnJhYz48L21hdGg+DWQXYwAAAABJRU5ErkJggg==)
![p squared minus 49 over 100 equals open parentheses p minus 7 over 10 close parentheses open parentheses p plus 7 over 10 close parentheses](data:image/png;base64,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)
∴
is the required product of binomials.
Related Questions to study
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
Maths-
On Saturday , the vacation resort offers a discount on water sports. To take a surfing lesson and go parasailing costs $130. That day 25 people take surfing lessons and 30 people go parasailing. A Total of $ 3650 collected. What is the discounted price of each activity?
On Saturday , the vacation resort offers a discount on water sports. To take a surfing lesson and go parasailing costs $130. That day 25 people take surfing lessons and 30 people go parasailing. A Total of $ 3650 collected. What is the discounted price of each activity?
Maths-General
Maths-
Solve System of equations using Substitution :
Y = 3X + 1
6X - 2Y = -2
Solve System of equations using Substitution :
Y = 3X + 1
6X - 2Y = -2
Maths-General
Maths-
Solve System of equations using Substitution :
X + Y = 175
20X + 16Y = 3,101
Solve System of equations using Substitution :
X + Y = 175
20X + 16Y = 3,101
Maths-General
Maths-
Solve System of equations using Substitution :
5X - Y = -4
Y = 5X - 4
Solve System of equations using Substitution :
5X - Y = -4
Y = 5X - 4
Maths-General
Maths-
A rental Company can set up 3 small tents and 1 large tent in 115 min. They can set up 2 small tents and 2 large tents in 130 min. How much time is required to set up a small tent ?
A rental Company can set up 3 small tents and 1 large tent in 115 min. They can set up 2 small tents and 2 large tents in 130 min. How much time is required to set up a small tent ?
Maths-General
Maths-
Solve System of equations using Substitution :
X + Y = - 4
Y = - X + 5
Solve System of equations using Substitution :
X + Y = - 4
Y = - X + 5
Maths-General
Maths-
Solve the following system of equations by elimination :
4X + 3Y = 6
2X - 5Y = 16
Solve the following system of equations by elimination :
4X + 3Y = 6
2X - 5Y = 16
Maths-General
Maths-
Solve the following system of equations by elimination :
X - 4Y = - 8
3X + 4Y = 0
Solve the following system of equations by elimination :
X - 4Y = - 8
3X + 4Y = 0
Maths-General
Maths-
Solve System of equations using Substitution
Y = -2X + 5
2X + Y = 5
Solve System of equations using Substitution
Y = -2X + 5
2X + Y = 5
Maths-General
Maths-
Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (1, −2), 𝐵 ≡ (5, −4)
Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (1, −2), 𝐵 ≡ (5, −4)
Maths-General
Maths-
Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (3,5), 𝐵 ≡ (−2,3)
Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (3,5), 𝐵 ≡ (−2,3)
Maths-General