Factorize:8x3+27y3+36x2y+54xy2

Given,8x3+27y3+36x2y+54xy2,= (2x)3+(3y)3 +18xy (2x +3y)= (2x)3+(3y)3 +3×2x×3y (2x +3y)= (2x+3y)3= (2x +3y) (2x +3y) (2x +3y)

Q4 of 111 Page 5

Factorize:
8x³+27y³+36x²y+54xy²

Given,

8x³+27y³+36x²y+54xy²,

= (2x)³+(3y)³ +18xy (2x +3y)

= (2x)³+(3y)³ +3×2x×3y (2x +3y)

= (2x+3y)³

= (2x +3y) (2x +3y) (2x +3y)

Factorize:

125x³-27y³-225x²y+125xy²

Factorize:

x³+1+x²+2x

Factorize:

a³-3a²b+3ab²-b³+8

Factorize:

x³+8y³+6x²y+12xy²