Advertisements
Advertisements
Question
Using the formula for squaring a binomial, evaluate the following: (99)2
Advertisements
Solution
Here, we will use the identity \[\left( a - b \right)^2 = a^2 - 2ab + b^2\]
\[\left( 99 \right)^2 \]
\[ = \left( 100 - 1 \right)^2 \]
\[ = \left( 100 \right)^2 - 2 \times 100 \times 1 + 1^2 \]
\[ = 10000 - 200 + 1\]
\[ = 9801\]
APPEARS IN
RELATED QUESTIONS
Find the Product.
(5 − 2x) (3 + x)
Find the product.
(a2 + b) (a + b2)
Multiply the monomial by the binomial and find the value for x = −1, y = 0.25 and z = 0.05: −3x(y2 + z2)
Multiply the monomial by the binomial and find the value for x = −1, y = 0.25 and z = 0.05:
xz(x2 + y2)
Find the product of the following binomial: (2x + y)(2x + y)
Find the product of the following binomial: \[\left( \frac{4x}{5} - \frac{3y}{4} \right)\left( \frac{4x}{5} + \frac{3y}{4} \right)\]
Using the formula for squaring a binomial, evaluate the following: (102)2
Using the formula for squaring a binomial, evaluate the following: (1001)2
Using the formula for squaring a binomial, evaluate the following: (999)2
Using the formula for squaring a binomial, evaluate the following: (703)2
