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Khai triển biểu thức (5x+y)(25x^2 - 5xy + y^2)
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Khai triển biểu thức (5x+y)(25x^2 - 5xy + y^2)

User Rangana Sampath
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1 Answer

3 votes

Explanation:

Here (1)(25) = 25 and its factor pairs are 1 & 25, and 5 & 5. 5 + 5 = 10, so we can rewrite the xy term as 10xy = 5xy + 5xy.

y2 + 10xy + 25x2 = y2 + (5xy + 5xy) + 25x2

= (y2 + 5xy) + (5xy + 25x2) = y(y + 5x) + 5x(y + 5x)

= (y + 5x)(y + 5x) = (y + 5x)2

User Laef
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