Question
Simplify$:(4x + 5y)^2 + (4x - 5y)^2$
✓
Answer
$(4x + 5y)^2 + (4x - 5y)^2$
$= (4x)^2 + (5y)^2 + 2(4x)(5y) + (4x)^2+ (5y)^2 - 2(4x)(5y)$
$= 16x^2 + 25y^2 + 40xy + 16x^2 + 25y^2 - 40xy$
$= 32x^2 + 50y^2.$
$= (4x)^2 + (5y)^2 + 2(4x)(5y) + (4x)^2+ (5y)^2 - 2(4x)(5y)$
$= 16x^2 + 25y^2 + 40xy + 16x^2 + 25y^2 - 40xy$
$= 32x^2 + 50y^2.$
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