Math, asked by deepakpanneerspa26ue, 1 year ago

125xcube +27ycube + 8zcube - 90xyz

Answers

Answered by Anonymous
1
Heya ✋

125x ^{3}  + 27y ^{3}  + 8z ^{3}  - 90xyz \\  \\  = (5x) ^{3}  + (3y)^{3} + (2z) ^{3}   - 3 \times 5x \times 3y \times 2z \\  \\  = (5x + 3y + 2z)((5x) ^{2}  + (3y) ^{2}  + (2z) ^{2}  - 5x \times 3y - 3y \times 2z - 2z \times 5x) \\  \\  = (5x + 3y + 2z)(25x ^{2}  + 9y ^{2}  + 4z ^{2}  - 15xy - 6yz - 10zx)






Thanks :)))))
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