Question

factorize: 8x³+27y³+36x²y+54xy²​

Answer 1

Answer:

8x³+27y²+36x²y+54xy²=(2x+3y)³

Answer 2

Answer:

$8x³+27y³+36x²y+54xy²$

$=(2x)³+(3y)³+36x²y+54xy²$

$=(2x)³+(3y)³+18xy(2x+3y)$

$=(2x)³+(3y)³+3(2x)(3y)(2x+3y)$

$\textsf{using( a+b)³=a³+b³+3ab(a+b)}$

$\textsf{putting a=2x,b=3y}$

$=(2x+3y)³$

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

Hope it helps ✔︎✔️.