Question
Using the formula for squaring a binomial, evaluate the following: $(102)^2$
✓
Answer
Here, we will use the identity $(a + b)^2= a^2+ 2ab + b^2$.
$ (102)^2 $
$=(100+2)^2 $
$ =(100)^2+2 \times 100 \times 2+2^2 $
$ =10000+400+4 $
$ =10404 $
$ (102)^2 $
$=(100+2)^2 $
$ =(100)^2+2 \times 100 \times 2+2^2 $
$ =10000+400+4 $
$ =10404 $
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Expand the following, using suitable identities.$\Big(\frac{4}{5}\text{a}+\frac{5}{4}\text{b}\Big)^2$
→Which of the following are perfect cube$?$
$3087$
→$3087$
Perform the following divisions:
$\left(a x^3-b x^2+c x\right) \div(-d x)$
→$\left(a x^3-b x^2+c x\right) \div(-d x)$
What is the number of diagonals in a: Octagon.
Find the probability of the pointer stopping on $D$ in
→Find the following products:
$(9x + 5y) × (4x + 3y)$
→$(9x + 5y) × (4x + 3y)$
Find the square root of the following by long division method: $3226694416$
→A car takes $2$ hours to reach a destination by travelling at the speed of $60\ km/h$. How long will it take when the car travels at the speed of $80\ km/h$?
→Factorise the following, using the identity $a^2+ 2ab + b^2= (a + b)^2$
$x^2+ 6x + 9$
→$x^2+ 6x + 9$
Verify the following:
$ (p-q)\left(p^2+p q+q^2\right)=p^3-q^3 $
→$ (p-q)\left(p^2+p q+q^2\right)=p^3-q^3 $