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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

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

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: $x^{3} - 125y^{3} - 15x^{2}y + 75xy^{2}$

Similar Questions

Factorise the expression: $x^{2}+4 y^{2}+9 z^{2}-4 x y-12 y z+6 z x$

If $p(x) = x^{2} - 4x + 3$,then find the value of $p(2) - p(-1) + p(1/2)$. (in $/4$)

Which of the following expressions are polynomials in one variable and which are not? State reason for your answer. If the given expression is a polynomial,state whether it is a polynomial in one variable or not: $x^{3}+y^{3}+z^{3}-3xyz$

Classify the following as a constant,linear,quadratic,or cubic polynomial: $t^{2}$

If $x^{2}-8x-20=(x+a)(x+b),$ then $ab=\ldots \ldots \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module