Advertisements
Advertisements
Question
Using the formula for squaring a binomial, evaluate the following: (703)2
Advertisements
Solution
Here, we will use the identity \[\left( a + b \right)^2 = a^2 + 2ab + b^2\]
\[\left( 703 \right)^2 \]
\[ = \left( 700 + 3 \right)^2 \]
\[ = \left( 700 \right)^2 + 2 \times 700 \times 3 + 3^2 \]
\[ = 490000 + 4200 + 9\]
\[ = 494209\]
RELATED QUESTIONS
Multiply the binomials.
(2.5l − 0.5m) and (2.5l + 0.5m)
Find the product.
(x + 7y) (7x − y)
Multiply the monomial by the binomial and find the value for x = −1, y = 0.25 and z = 0.05: 15y2(2 − 3x)
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: (2a3 + b3)(2a3 − b3)
Find the product of the following binomial: \[\left( x^3 + \frac{1}{x^3} \right)\left( x^3 - \frac{1}{x^3} \right)\]
Using the formula for squaring a binomial, evaluate the following: (102)2
Using the formula for squaring a binomial, evaluate the following: (999)2
Multiply the following:
b3, 3b2, 7ab5
