Factorize: 8(3x-4y)^3 - 125(2x+y)^3
Answers
Answered by
22
8(3x-4y)³ -125(2x+y)³
Let, 3x-4y =a and 2x +y = b, then,
8(3x-4y)³ -125(2x+y)³
= 8a³ -125b²
=(2a)³-(5b)³
= (2a-5a) (4a²+10ab +25b²)
= {2(3x-4y)-5(2x+y)} {4(3x-4y)² +10(3x-4y) (2x+y)+25(2x+y)²}
=(6x-8y-10x-5y) {4(9x²-24xy+16y²)+10(6x²-5xy-4y²)+25(4x²+4xy+y²)}
=(-4x -13y) (36x²-96xy +64y²+60x² -50xy -40y²+100x²+100xy +25y²)
= - (4x+13y) (36x²-46xy+49y²)
Answered by
6
Answer:
check the attachment (◍•ᴗ•◍)❤
Attachments:
Similar questions