Question

Factorise
1) 27x³+125y³+135x²y+225xy²
2) a³-8b³-64c³-24abc

Answer 1

•27x³+125y³=(3x)³+(5y)³

By using formula,

a³+b³=(a+b)(a²-ab+b²)

=>(3x+5y)(9x²-15xy+25y²)

•a³-8b³-64c³-24abc

a³+(-2b)³+(-4c)³-3×a×(-2b)-4c

By using identinty,

a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-2ab-2bc-2ca)

=>[a-2b-4c] [a²+(-2b)²+(-4c)²-2×a×(-2b) -2×(-2b)×-4c -2×a×(-4c)]

=>(a-2b-4c)(a²+4b²+16c²+4ab-8bc+8ac)

Hope it helps you ☺️,

Please mark me as brainlist.

Answer 2

Answer:

SEE THE ATTACHMENT FOR DETAILED SOLUTION TO THE QUESTION DUDE!!! ✔️