Download App

Factorization — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSFactorization3 Marks
Question
Factorise the expression: $(l + m)^2– 4lm$
(Hint: Expand $( l + m)^2$ first)
✓

Answer

$(l + m)^2– 4lm$
$= (l^2+ 2lm + m^2) – 4lm. . . .$ [Using Identity $I]$
$= l^2+ (2lm – 4lm) + m^2 . . .$ [Combining the like terms]
$= l^2– 2lm + m^2$
$= (l)^2– 2(l) (m) + (m)^2$
$= (l – m)^2 . . .$ [Applying Identity $II]$

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

Similar questions

The weight of $12$ sheets of thick paper is $40$ grams, how many sheets of the same paper would weigh $2\frac{1}{2}$ kilograms?
→
Factories:$a^2+14 x+45$
→
By what rational number should $\frac{-8}{39}$ be multiplied to obtain $\frac{1}{26}?$
→
Find a number whose fifth part increased by $30$ is equal to its fourth part decreased by $30.$
→
What is the smallest number by which $1600$ must be divided so that the quotient is a perfect cube$?$
→
Divide the first polynomial by the second polynomial in the following. Also write the quotient and remainder: $\frac{\big(\text{y}^4+\text{y}^2\big)}{\text{y}^2-2}$
→
By using the formula, find the amount and compound interest on.
$Rs. 31250$ for $3$ years at $8\%$ per annum compounded annually.
→
A diagonal of a parallelogram bisects an angle. Will it also bisect the other angle? Give reason.
→
If $x$ and $y$ vary inversely and $x = 18$ when $y = 8$, find $x$ when $y = 16.$
→
Find Cl on a sum of ₹ 8000 for 2 yr at 5% per annum compounded annually.
→