Question

study paths initial diagnostic: tx math bridge - stage 2 tx mat exponents and polynomials progress: the movement of the progress bar may be uneven because questions can be wor square the binomial: (4x + 7)² 16x² + 49 8x + 14 16x² + 56x + 49 16x² + 28x + 49

Explanation:

Step1: Apply binomial square formula

The formula for squaring a binomial \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = 4x\) and \(b = 7\).

Step2: Calculate each term

• \(a^2 = (4x)^2 = 16x^2\)
• \(2ab = 2 \times 4x \times 7 = 56x\)
• \(b^2 = 7^2 = 49\)

Step3: Combine the terms

Add the three terms together: \(16x^2 + 56x + 49\)

Answer:

C. \(16x^2 + 56x + 49\)