Advertisements
Advertisements
Question
Using the formula for squaring a binomial, evaluate the following: (1001)2
Advertisements
Solution
Here, we will use the identity \[\left( a + b \right)^2 = a^2 + 2ab + b^2\]
\[\left( 1001 \right)^2 \]
\[ = \left( 1000 + 1 \right)^2 \]
\[ = \left( 1000 \right)^2 + 2 \times 1000 \times 1 + 1^2 \]
\[ = 1000000 + 2000 + 1\]
\[ = 1002001\]
APPEARS IN
RELATED QUESTIONS
Multiply the binomials.
(2x + 5) and (4x − 3)
Multiply the binomials.
(a + 3b) and (x + 5)
Multiply the binomials.
`(3/4 a^2 + 3b^2) and 4(a^2 - 2/3 b^2)`
Find the Product.
(5 − 2x) (3 + x)
Multiply the monomial by the binomial and find the value for x = −1, y = 0.25 and z = 0.05: −3x(y2 + z2)
Find the product of the following binomial: \[\left( \frac{4x}{5} - \frac{3y}{4} \right)\left( \frac{4x}{5} + \frac{3y}{4} \right)\]
Find the product of the following binomial: \[\left( 2x + \frac{3}{y} \right)\left( 2x - \frac{3}{y} \right)\]
Find the product of the following binomial: (2a3 + b3)(2a3 − b3)
Find the product of the following binomial: \[\left( x^4 + \frac{2}{x^2} \right)\left( x^4 - \frac{2}{x^2} \right)\]
Find the product of the following binomial: \[\left( x^3 + \frac{1}{x^3} \right)\left( x^3 - \frac{1}{x^3} \right)\]
