Expand $(x+5y)(x-5y)$.
(A) To expand the expression $(x+5y)(x-5y)$,we use the algebraic identity $(a+b)(a-b) = a^2 - b^2$.
Here,$a = x$ and $b = 5y$.
Substituting these values into the identity:
$(x+5y)(x-5y) = (x)^2 - (5y)^2$
$= x^2 - 25y^2$.
Here,$a = x$ and $b = 5y$.
Substituting these values into the identity:
$(x+5y)(x-5y) = (x)^2 - (5y)^2$
$= x^2 - 25y^2$.
Explore More
Similar Questions
Which of the following expressions is a polynomial? State the reason. If an expression is a polynomial,state whether it is a polynomial in one variable or not: $\sqrt{3} x^{2}+\pi x-9$
Easy
View SolutionFactorise:
$2 \sqrt{2} a^{3} + 8 b^{3} - 27 c^{3} + 18 \sqrt{2} a b c$
$2 \sqrt{2} a^{3} + 8 b^{3} - 27 c^{3} + 18 \sqrt{2} a b c$
Medium
View SolutionThe factorisation of $4 x^{2}+8 x+3$ is
Easy
View SolutionFind the quotient and the remainder when $2x^2 - 7x - 15$ is divided by $2x - 3$.
Medium
View SolutionDivide $p(x) = x^{3} + 7x^{2} + 14x + 1$ by $x + 3$ and find the quotient and the remainder.
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo