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simplify the following expression. 4b(4ab² + a − 1) ?ab^ + ab + b

Question

simplify the following expression.
4b(4ab² + a − 1)
?ab^ + ab + b

Explanation:

Step1: Distribute 4b to 4ab²

Multiply 4b and 4ab²: \(4b \times 4ab^2 = 16ab^{1 + 2} = 16ab^3\)

Step2: Distribute 4b to a

Multiply 4b and a: \(4b \times a = 4ab\)

Step3: Distribute 4b to -1

Multiply 4b and -1: \(4b \times (-1) = -4b\)

Step4: Combine the terms

Putting it all together, we get \(16ab^3 + 4ab - 4b\)

Answer:

16 \(ab^3\) + 4 \(ab\) + (-4) \(b\) (or in the boxed form as per the question's blanks: first box 16, exponent 3; second box 4; third box -4)