If 5x + 3y=4 and 5x-3y= 2, what is the value of (25x\(^2\) -9y\(^2\))?

a

20

b

16

c

2

d

8

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Correct Option
d

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Discussions (3)

LamestAmos
1 year ago

You can also solve this easier with difference of 2 squares where
a^2 - b^2 = (a+b)(a-b)

Applying,

25x^2 - 9y^2 = (5x + 3y)(5x - 3y)

Using substitution,

= (4)(2)

= 8

ruthdoosuur
4 months ago

Difference of Two Squares (5x+3y)(5x-3y) = (4)(2) = 8

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