Multiply (4x + 7)2.

Question

16x2 + 49
16x2 + 28x + 49
16x2 + 56x + 49
8x2 + 14

Answer 1

To multiply \( (4x + 7)^2 \), we can use the formula for squaring a binomial, which is \( (a + b)^2 = a^2 + 2ab + b^2 \).

Here, \( a = 4x \) and \( b = 7 \).

1. Calculate \( a^2 \): \[ (4x)^2 = 16x^2 \]

2. Calculate \( 2ab \): \[ 2 \cdot (4x) \cdot 7 = 56x \]

3. Calculate \( b^2 \): \[ 7^2 = 49 \]

Now, combine these results: \[ (4x + 7)^2 = 16x^2 + 56x + 49 \]

Thus, the final answer is: \[ \boxed{16x^2 + 56x + 49} \]