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
Factorise: $2x^2 + y^2 + 8z^2 - 2\sqrt{2}xy + 4\sqrt{2}yz - 8xz$
Easy
View SolutionEvaluate $(101)^{2}$.
Difficult
View SolutionIf $a+b+c=9$ and $ab+bc+ca=26$,find $a^{2}+b^{2}+c^{2}$.
Difficult
View SolutionUsing a suitable identity,evaluate the following:
$101 \times 102$
$101 \times 102$
Medium
View SolutionExpand $\left(\frac{x}{2}-\frac{2}{5}\right)^{2}$.
Easy
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