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2 votes
Help! Explain please I need to know I have a test tomorrow!

Help! Explain please I need to know I have a test tomorrow!-example-1
User Jon Preece
by
7.4k points

2 Answers

5 votes
hey there!

The given expression is
25x^(2)-49y^(2)

This can be written as
(5x)^(2)-(7y)^(2)

This is in the form of
a^(2)-b^(2)

This can be written in form of (a+b)(a-b)

So now our answer is (5x-7y)(5x+7y)

Hope it helps you dear!
Have a good day <3
User Jack Sierkstra
by
8.2k points
5 votes

given:


25 {x}^(2) - 49 {y}^(2)

solution:


{a}^(2) - {b}^(2) = (a + b)(a - b)


a = 5x


b = 7y


25 {x}^(2) - 49 {y}^(2)


= (5x - 7y) {}^(2)


= (5x - 7y)(5x + 7y)

hence, the correct answer is option B

User Tbhartman
by
8.6k points

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