Question

multiply.
$(7x + 5)^2$
$(7x + 5)^2 = \square$
(simplify your answer.)

Explanation:

Step1: Recall the square of a binomial formula

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = 7x\) and \(b = 5\).

Step2: Calculate \(a^2\)

\(a^2=(7x)^2 = 7^2\times x^2=49x^2\).

Step3: Calculate \(2ab\)

\(2ab = 2\times(7x)\times5=70x\).

Step4: Calculate \(b^2\)

\(b^2 = 5^2 = 25\).

Step5: Combine the terms

\((7x + 5)^2=49x^2+70x + 25\).

Answer:

\(49x^2 + 70x + 25\)