Advertisements
Advertisements
Question
Find the product of the following binomial: (2x + y)(2x + y)
Advertisements
Solution
We will use the identity \[\left( a + b \right)^2 = a^2 + 2ab + b^2\] in the given expression to find the product.
\[\left( 2x + y \right)\left( 2x + y \right)\]
\[ = \left( 2x + y \right)^2 \]
\[ = \left( 2x \right)^2 + 2\left( 2x \right)\left( y \right) + y^2 \]
\[ = 4 x^2 + 4xy + y^2\]
RELATED QUESTIONS
Multiply the binomials.
(y − 8) and (3y − 4)
Multiply the binomials.
(2.5l − 0.5m) and (2.5l + 0.5m)
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: (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)
Using the formula for squaring a binomial, evaluate the following: (102)2
Using the formula for squaring a binomial, evaluate the following: (99)2
Using the formula for squaring a binomial, evaluate the following: (1001)2
Multiply the following:
b3, 3b2, 7ab5
