Find the following products using appropriate identities:
$(i) (x + 3) (x + 3)$
$(ii) (x - 3) (x + 5)$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) $(i)$ Here,we can use the identity $(x + y)^2 = x^2 + 2xy + y^2$. Substituting $y = 3$ into this identity,we get:
$(x + 3)(x + 3) = (x + 3)^2 = x^2 + 2(x)(3) + (3)^2 = x^2 + 6x + 9$.
$(ii)$ Using the identity $(x + a)(x + b) = x^2 + (a + b)x + ab$,where $a = -3$ and $b = 5$,we have:
$(x - 3)(x + 5) = x^2 + (-3 + 5)x + (-3)(5) = x^2 + 2x - 15$.

Explore More

Similar Questions

Find the remainder when $x^{3}+3x^{2}+3x+1$ is divided by $x-\frac{1}{2}$.

Difficult
View Solution

Find the degree of the polynomial given below: $2$

Write the following cube in expanded form: $(2a - 3b)^{3}$

Factorise: $27x^3 + y^3 + z^3 - 9xyz$

Find the degree of the polynomial given: $2 - y^{2} - y^{3} + 2y^{8}$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo