Question

Example 37 :
Simplify: (√2x + √3y)^2 + 2{√2x+ √3y)(√2x - √3y)+(√2x-√3y)^2?
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Answer 1

Here we consider a = (√2x+√3y) and b= (√2x-√3y).

Using formula

${(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}$

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

={(√2x+√3y)+(√2x-√3y)}²

={2√2x}²

=4 x 2x²

=8x²