Math, asked by aditiverma29, 4 months ago

simplify (2a²+5b) ²+(2a²-5b)²

Answers

Answered by yewi

1

Answer: 8a⁴+50b⁴

Step-by-step explanation:

x²+y²=(x+y)²-2xy

x=2a²+5b², y=2a²-5b²

(2a²+5b²)+(2a²-5b²)=

=(2a²+5b²+2a²-5b²)²-2(2a²+5b² )(2a²-5b²)=

=(4a²)²-2(2a²+5b² )(2a²-5b²)

(x+y)(x-y)=x²-y²

(4a²)²-2((2a²)²-(5b²)²)=16a⁴-2(4a⁴-25b⁴)=16a⁴-8a⁴+50b⁴=

=8a⁴+50b⁴

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