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.
\[\left( 2x + y \right)\left( 2x + y \right)\]
\[ = \left( 2x + y \right)^2 \]
\[ = \left( 2x \right)^2 + 2\left( 2x \right)\left( y \right) + y^2 \]
\[ = 4 x^2 + 4xy + y^2\]
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.
(p2 − q2) (2p + q)
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: z2(x − y)
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: (1001)2
Multiply the following:
b3, 3b2, 7ab5
