Question

Simplify: (x + y +3)²+ (x – y + 3)²
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Answer 1

Answer:

2(x^2 + y^2 + 6x + 9).

Step-by-step explanation:

To find the value of

(x+y+3)^2 + (x-y+3)^2

We know that,

• (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca

According to this, we will get,

= [ x^2 + y^2 + 3^2 + 2xy + 2y(3) + 2(3)x ] + [ x^2 +(-y)^2 + 3^2 + 2x(-y) + 2(-y)(3) + 2(3)(x) ]

= x^2 + y^2 + 9 + 2xy + 6y + 6x + x^2 + y^2 + 9 -2xy - 6y + 6x

= 2x^2 + 2y^2 + 18 + 12x

= 2(x^2 + y^2 + 6x + 9)

Hence, required answer is 2(x^2 + y^2 + 6x + 9).

Answer 2

Answer:

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