Advertisements
Advertisements
Question
Using the formula for squaring a binomial, evaluate the following: (102)2
Advertisements
Solution
Here, we will use the identity \[\left( a + b \right)^2 = a^2 + 2ab + b^2\].
\[\left( 102 \right)^2 \]
\[ = \left( 100 + 2 \right)^2 \]
\[ = \left( 100 \right)^2 + 2 \times 100 \times 2 + 2^2 \]
\[ = 10000 + 400 + 4\]
\[ = 10404\]
APPEARS IN
RELATED QUESTIONS
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.
(x + 7y) (7x − y)
Find the product.
(p2 − q2) (2p + q)
Find the product of the following binomial: (2x + y)(2x + y)
Find the product of the following binomial: (a + 2b)(a − 2b)
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: \[\left( x^4 + \frac{2}{x^2} \right)\left( x^4 - \frac{2}{x^2} \right)\]
Using the formula for squaring a binomial, evaluate the following: (703)2
