The value of a^4 - b^4 is: - Vidyadip

MCQ

The value of $a^4 - b^4$ is:

A
$(a^2 - b^2)(a + b)(a - b)$
B
$(a^2 - b^2)(a - b)(a - b)$
✓
$(a^2 + b^2)(a + b)(a - b)$
D
$(a^2 + b^2)(a + b)^2$

✓

Answer

Correct option: C.

$(a^2 + b^2)(a + b)(a - b)$

$a4 - b4$
$= (a^2)^2 - (b^2)^2$ = $(a^2 + b^2)(a^2 - b^2)$
$= (a^2 + b^2)(a + b)(a - b)$

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 "M.C.Q. [1 Marks Each]" from Exponents and Powers→Exponents and Powers — all question types→MATHS STD 7 question papers→Gujarat Board STD 7 question papers→Gujarat Board question paper generator→

Similar questions

One-third of a number added to itself gives $10,$ is represented as:

If a sum of ₹ 3000 is lent out at $3 \%$ per annum for 20 years under simple interest, then the amount at the end of $20^{\text {th }}$ year is

Mark $(\checkmark)$ against the correct answer in the following: Which is smaller between $\frac{-5}{6}$ and $\frac{-7}{12}?$

The order of rotational symmetry of a ceiling fan with $3$ blades is:

The solution of the equation $\frac{\text{m}}{3} = {3}$ is:

Mark against the correct answer in the following:
The ages of $A$ and $B$ are in the ratio $5 : 3.$ After $6$ years, their ages will be in the ratio $7 : 5.$ The present age of $A$ is:

The cost of 30 mangoes is less then cost of 40 mangoes by Rs. 50. Find the cost of 50 mangoes in (Rs.)

Mark $(\checkmark)$ against the correct answer in the following: $\bigg\{\Big(\frac{1}{3}\Big)^{-3}-\Big(\frac{1}{2}\Big)^{-3}\bigg\}=?$

If $2\text{x}+\frac{1}{3\text{x}}=5$ then the value of $\frac{5\text{x}}{6\text{x}^2 + 20\text{x} + 1}$ is:

In an improper fraction, the numerator is always $..........$ the denominator.