Which of the following is a factor of (x+y)^{ | vedclass

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

Question

(B) We know the algebraic identity: $(x+y)^{3} = x^{3}+y^{3}+3xy(x+y)$.Substituting this into the given expression:$(x+y)^{3}-(x^{3}+y^{3}) = [x^{3}+y

Vedclass · Accepted Answer

$3xy$

Vedclass · Answer

(B) We know the algebraic identity: $(x+y)^{3} = x^{3}+y^{3}+3xy(x+y)$.Substituting this into the given expression:$(x+y)^{3}-(x^{3}+y^{3}) = [x^{3}+y^{3}+3xy(x+y)] - (x^{3}+y^{3})$.Simplifying the expression:$= x^{3}+y^{3}+3xy(x+y) - x^{3}-y^{3}$$= 3xy(x+y)$.Since the expression simplifies to $3xy(x+y)$,the factors are $3$,$x$,$y$,and $(x+y)$.Comparing this with the given options,$3xy$ is a factor.Therefore,$(b)$ is the correct answer.

Which of the following is a factor of $(x+y)^{3}-(x^{3}+y^{3})$?

Similar Questions

If $(x-1)$ is a factor of $x^{3}+7x^{2}+ax-3$,then find the value of $a$.

Find the value of the following polynomial at the indicated value of the variable:
$p(t) = 5t^{2} - 11t + 7$ at $t = a$

Which of the following expressions are polynomials in one variable and which are not? State the reason for your answer. If the given expression is a polynomial,state whether it is a polynomial in one variable or not.
$x^{2} + x - 3 + \frac{4}{x}$

Factorise the following quadratic polynomial by splitting the middle term:
$x^{2}+10x+16$

Factorise $x^{3}+2x^{2}-13x+10$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module