Question

multiplying binomials using the foil method and multiplying binomials and trinomials

1. use the foil method to find (b + 3)(b + 7)

Explanation:

Step1: Multiply First terms

$b \times b = b^2$

Step2: Multiply Outer terms

$b \times 7 = 7b$

Step3: Multiply Inner terms

$3 \times b = 3b$

Step4: Multiply Last terms

$3 \times 7 = 21$

Step5: Combine like terms

$b^2 + 7b + 3b + 21 = b^2 + 10b + 21$

Answer:

$b^2 + 10b + 21$