factorize the expression 8x³-125y³+2x-5y
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Solution:
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We know the algebraic identity:
a³-b³ = (a-b)(a²+ab+b²)
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Now,
8x³-125y³+2x-5y
= (2x)³-(5y)³+2x-5y
= (2x-5y)[(2x)²+(2x)(5y)+(5y)²]+(2x-5y)
= (2x-5y)(4x²+10xy+25y²)+(2x-5y)
= (2x-5y)[4x²+10xy+25y²+1]
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Hey !
Refer the below attachment !
Thanks !
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