Question

use the formula for a binomial squared to multiply.
(6x + 7y)^2
(6x + 7y)^2 = □

Explanation:

Step1: Recall binomial - squared formula

The formula for \((a + b)^2=a^{2}+2ab + b^{2}\). Here \(a = 6x\) and \(b = 7y\).

Step2: Calculate \(a^{2}\)

\(a^{2}=(6x)^{2}=36x^{2}\) since \((6x)^{2}=6^{2}\times x^{2}=36x^{2}\).

Step3: Calculate \(2ab\)

\(2ab = 2\times(6x)\times(7y)=84xy\).

Step4: Calculate \(b^{2}\)

\(b^{2}=(7y)^{2}=49y^{2}\) since \((7y)^{2}=7^{2}\times y^{2}=49y^{2}\).

Step5: Combine terms

\((6x + 7y)^{2}=36x^{2}+84xy + 49y^{2}\).

Answer:

\(36x^{2}+84xy + 49y^{2}\)