Factorise the following expression: x^{3} - 1 | vedclass

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(A) The given expression is $x^{3} - 125y^{3} - 15x^{2}y + 75xy^{2}$.We can rewrite this as $x^{3} - (5y)^{3} - 3(x^{2})(5y) + 3(x)(5y)^{2}$.This expr

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$(x - 5y)^{3}$

Vedclass · Answer

(A) The given expression is $x^{3} - 125y^{3} - 15x^{2}y + 75xy^{2}$.We can rewrite this as $x^{3} - (5y)^{3} - 3(x^{2})(5y) + 3(x)(5y)^{2}$.This expression is in the form of the algebraic identity $(a - b)^{3} = a^{3} - b^{3} - 3a^{2}b + 3ab^{2}$,where $a = x$ and $b = 5y$.Therefore,the expression simplifies to $(x - 5y)^{3}$,which can be written as $(x - 5y)(x - 5y)(x - 5y)$.

Factorise the following expression: $x^{3} - 125y^{3} - 15x^{2}y + 75xy^{2}$

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