Question

Simplify
(1) (x - 2y + 3)2 + (x + 2y - 3)2


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Answer 1

Answer:

4x

Step-by-step explanation:

$2(x-2y+3)+2(x+2y-3)\\\\= 2x-4y+6+2x+4y-6\\\\= (2x+2x)+(-4y+4y)+(6-6)\\\\= 4x+0+0\\\\= 4x$

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Answer 2

Answer:

Sol.( x-2y+3)² + ( x +2y-3)²

= [x²+(-2y)²+3²+2(X × (-2y))+2(-2y×3)+2(3×X)] + [x²+(2y)²+(-3)²+2(X×2y)+2(2y×-3)+2(X×3)]

= x²+4y²+9-4xy-12y+6x+x²+4y²+9+4xy-12y-6x

= x²+x²+4y²+4y²+9+9-12y-12y

= 2x²+8y²+18-24y