Download App

Factorization — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorization2 Marks
Question
Factorize of the following expressions:
$x^3-y^2+x-x^2 y^2$
✓

Answer

$x^3-y^2+x-x^2 y^2$
$=\left(x^3+x\right)-\left(x^2 y^2+y^2\right) \\
=x\left(x^2+1\right)-y^2\left(x^2+1\right)$
$=\left(x-y^2\right)\left(x^2+1\right)\left[\text { taking }\left(x^2+1\right)\right. \text { as the common factor] }$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Mark Question" from Factorization→Factorization — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Simplify:
$3+\frac{5}{-7}$
→
Simplify the following and write as a rational number of the form $\frac{\text{p}}{\text{q}}:$
$\frac{-11}{2}+\frac{7}{6}+\frac{-5}{8}$
→
Draw rough diagrams to illustrate the following:
Open curve.
→
Find the following products:
$(x+7)(x-5)$
→
Write the following numbers in the usual form:
$3.25 \times 10^{-7}$
→
Using the formula for squaring a binomial, evaluate the following:
$(103)^2$
→
Find the cube root of each of the following natural numbers:
343
→
Find the square root of the following by long division method:6407522209
→
Rajeeta purchased a set of cosmetics. she paid Rs. 165 for it including VAT. If the rate of VAT is 10%, find the sale price of the set.
→
Divide:
$\left(5 a^3-4 a^2+3 a+18\right)$ by $\left(a^2-2 a+3\right)$
→