Question

Solve
81 (x+1)^2 + 90 (x+1)(y+2)+25 (y+2)^2​

Answer 1

Step-by-step explanation:

Consider 81(x+1)^2+90(x+1)(y+2)+25(y+2)^2

Put a=(x+1) and b=(y=2)

In the above expression, we get

81(x+1)^2+90(x+1)(y+2)+25(y+2)^2 =81a^2+90ab+25b^2

=(9a)^2+2×9a×5b+(5b)^2

It is in the form of a^2+2ab+b^2=(a+b)^2 HENCE,

9a^2+2×9a×5b+(5b)^2=(9a+5b)^2

=[9a(x+1)+5(y+2)]^2

=[9x+9+5y+10]^2

=[9x+5y+19]^2..

Hence proved....

HOPE THIS ANSWER HELPS YOU........☺

Answer 2

Answer:

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