Question

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Answer 1

Answer:

Step-by-step explanation:

(10x + 15y)² = (8x + 12y)² + (6x + 9y)²

{(a + b)² = a²+2ab + b² }

(10x)² + 2*10x*15y + (15y)² = (8x)² + 2*8x*12y + (12y)² + (6x)² + 2*6x*9y +(9y)²

100x² +300xy + 225y² = 64x² + 192xy + 144y² + 36x² + 108xy + 81y²

100x² +300xy + 225y² =  100x² +  300xy + 225

Answer 2

Answer:

b. $\displaystyle 225y^2 + 150xy + 100x^2 = 225y^2 + 150xy + 100x^2$

a. $\displaystyle [8x + 12y]^2 + [6x + 9y]^2 = [10x + 15y]^2$

Step-by-step explanation:

b. $\displaystyle 225y^2 + 150xy + 100x^2 = 225y^2 + 150xy + 100x^2$

a. $\displaystyle [8x + 12y]^2 + [6x + 9y]^2 = [10x + 15y]^2$

The two expressions are identical on each side of the equivalence symbol, therefore they are an identity.

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