Find the product. Simplify your answer. (4t + 4)(4t + 1) ______

Distribute and Identify: (4t + 4)(4t + 1) Identify the expression after distributing (4t + 1). Distribute (4t + 1) to each term of (4t + 4). (4t + 4)(4t + 1) = 4t(4t + 1) + 4(4t + 1)Simplify 4t(4t + 1): Simplify 4t(4t + 1). 4t(4t + 1) = 4t(4t) + 4t(1) = 16t^2 + 4tSimplify 4(4t + 1): Simplify 4(4t + 1). 4(4t + 1) = 4(4t) + 4(1) = 16t + 4Combine Simplified Expressions: We know: 4t(4t + 1) = 16t^2 + 4t 4(4t + 1) = 16t + 4 What is the simplified form of 4t(4t + 1) + 4(4t + 1)? 4t(4t + 1) + 4(4t + 1) = 16t^2 + 4t + 16t + 4 = 16t^2 + 20t + 4

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Find the product. Simplify your answer. $\newline$ $(4t + 4)(4t + 1)$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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Q. Find the product. Simplify your answer.

\newline

(4t + 4)(4t + 1)

Distribute and Identify: $4t + $4$ )( $4$ t + $1$ )(\newline$Identify the expression after distributing \(4t + $1$ )\. $\newline$ Distribute \(4t + $1$ )\ to each term of \(4t + $4$ )\. $\newline$ \(4t + $4$ )( $4$ t + $1$ ) = $4$ t( $4$ t + $1$ ) + $4$ ( $4$ t + $1$ )\
Simplify $4t(4t + 1)$ : Simplify $4t(4t + 1)$ . $4t(4t + 1)$ $= 4t(4t) + 4t(1)$ $= 16t^2 + 4t$
Simplify $4(4t + 1)$ : Simplify $4(4t + 1)$ .
$4(4t + 1)$
= $4(4t) + 4(1)$
= $16t + 4$
Combine Simplified Expressions: We know: $\newline$ $4t(4t + 1) = 16t^2 + 4t$ $\newline$ $4(4t + 1) = 16t + 4$ $\newline$ What is the simplified form of $4t(4t + 1) + 4(4t + 1)$ ? $\newline$ 4t(4t + 1) + 4(4t + 1) $\newline= 16t^2 + 4t + 16t + 4 $\newline$ = 16t^2 + 20t + 4$