Factorize: 28 a^2+14 a^2 b^2-21 a^4 - Vidyadip

Question

Factorize:
$28 a^2+14 a^2 b^2-21 a^4$

✓

Answer

The greatest common factor of the term
$28 a^2+14 a^2 b^2$ and $21 a^4$ of the expression
$28 a^2+14 a^2 b^2-21 a^4$ is $7 a^2$
Also, we can write $28 a^2=7 a^2 \cdot 4,14 a^2 b^2=7 a^2 \cdot 2 b^2$ and $21 a^4=7 a^2 \cdot 3 a^3$
Therefore, $28 a^2+14 a^2 b^2-21 a^4=7 a^2 \cdot 4+7 a^2 \cdot 2 b^2-7 a^2 \cdot 3 a^3$

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 "3 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

If x and y are directly proportional, find the values of $x_1$, $x_2$ and $y_1$ in the table given below.

x	3	$x_1$	$x_2$	10
y	72	120	192	$y_1$

The inner diameter of a circular well is 3.5m. It is 10m deep. Find the cost of plastering its inner curved surface at Rs 4per. square meter.

Find two rational number between -3 and -2.

Simplify:
$3 a^2+2(a+2)-3 a(2 a+1)$

The marked price of a mixer is Rs 2300. A customer purchased it for Rs 1955. Find percentage of discount offered to the customer.

The ratio between the radius of the base and the height of a cylinder is $2: 3$. Find the total surface area of the cylinder, if its volume is $1617 cm^3$.

Multiply:
$(2 x+8) \text { by }(x-3)$

Solve:
$a^2-2 a b+b^2-c^2$

The price of a sweater was slashed from Rs. 960 to Rs. 816 by a shopkeeper in the winter season. Find the rate of discount given by him.

A trader marks his goods at 30% above cost price and allows a discount of 10%. What is his gain percent?