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Simplify : (2x+y)^(5)-5y(2x+y)^(4)+10y...

Simplify :
`(2x+y)^(5)-5y(2x+y)^(4)+10y^(2)(2x+y)^(3)-10y^(3)(2x+y)^(2)+5y^(4)(2x+y)-y^(5)`

Text Solution

Verified by Experts

The correct Answer is:
`32x^(5)`
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Find (dy)/(dx) , x^(4)+3x^(2)y^(2)-2y^(4)=5

(2x-2y+5)dy=(x-y+3)dx

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x(1-x^(2)) dy + (2x^(2)y-y-5x^(3)) dx = 0

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(dy)/(dx)=(2x-3y+4)/(3x+4y-5)

Let's Multiply : (frac(x)(y) - frac(y)(3)) (frac(2x)3) - frac(3y)(5)