Using the formula for squaring a binomial, evaluate the following… - Vidyadip

Question

Using the formula for squaring a binomial, evaluate the following:
$(999)^2$

✓

Answer

$(999)^2$
$= (1000-1)^2$
$= (1000)^2-2 \times 1000 \times 1+(1)^2$
$= 1000000-2000+1$
$= 1000001-2000$
$= 998001$

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 Mark Question" from Operations on Algebraic Expressions→Operations on Algebraic Expressions — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Find the value of:
$197 \times 203$

How many vertices are there in a:
Pentagonal prism.

Express the following as a rational number of the form $\frac{\text{p}}{\text{q}}:$ $\frac{-7}{4}+0+\frac{-9}{5}+\frac{19}{10}+\frac{11}{14}$

Which of the following are perfect cube?166375

Find the number of sides of a regular polygon whose each exterior angle measures:
72°

A shop selling sewing machines offers 3% discount on all cash purchases. What cash amount does a costmer pay for a sewing machine the price of which is market as Rs. 650.

Simplify:
$(5^{-1}\div6^{-1} )^3$

Divide $x^4-y^4$ by $x^2-y^2$

Express the following numbers in index form. : Eighth root of 100

How many diagonals does the following have?
A regular hexagon.