factorise 125x^3+8y^3
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Answered by
2
Answer:
✡(5x+2y)(25x²-10xy+4y2) or
125x³+8y³+150x²y+60xy²☑
Step-by-step explanation:
➡125x³+8y³
➡(5x)³+(2y)³
⚫using identity a³+b³= (a+b) (a²-ab+b²)
➡(5x+2y)[(5x)²-5x×2y+(2y)²]
➡(5x+2y)(25x²-10xy+4y²)
⚫Or using another identity
a³+b³=a³+b³+3ab(a+b)
➡5x³+2y³
➡125x³+8y³+3×5x×2y(5x+2y)
➡125x³+8y³+30xy(5x+2y)
➡125x³+8y³+150x²y+60xy²
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Hope this is helpful to you!
Answered by
2
Answer:
Please make me brainlist pls
Step-by-step explanation:
125x3+8y3
=(5x)3+(2y)3
=(5x+2y)((5x)2−(5x)(2y)+(2y)2)
=(5x+2y)(25x2−10xy+4y2)
using the standard factorisation:(a3+b3)=(a+b)(a2−ab+b2)
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