Download App

Factorization — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSFactorization2 Marks
Question
Solve:
$ a^4-16 b^4$
✓

Answer

$ a^4-16 b^4$
$=a^4-2^4 b^4$
$ =\left(a^2\right)^2-\left(2^2 b^2\right)^2 $
$=\left(a^2-2^2 b^2\right)\left(a^2+2^2 b^2\right)$
$ =\left[a^2-(2 b)^2\right]\left(a^2+4 b^2\right) $
$ (a-2 b)(a+2 b)\left(a^2+4 b^2\right) $

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 Marks Questions" from Factorization→Factorization — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

An electron's mass is approximately $9.1093826 \times 10^{-31} kg$. What is this mass in grams?
→
Multiply the following:
$ a, a^5, a^6 $
→
Factorise: $x^2-10 x+24$
→
Solve: $\frac{2\text{x}+7}{3\text{x}+5}=\frac{15}{17}$
→
By what number should $(-15)^{-1}$ be divided so that the quotient may be equal to $(-5)^{-1}?$
→
Factorise: $3 x^2+10 x+8$
→
Making use of the cube root table, find the cube root $0.86$
→
Factorise the expressions: $5y^2– 20y – 8z + 2yz$
→
Find the amount to be paid at the end of $3$ years in each case:Principal $=₹ 1,200$ at $12 \%$ $p.a.$
→
During a sale, a shop offered a discount of $10 \%$ on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at ₹ $1450$ and two shirts marked at ₹ $850$ each?
→