Identify Expression: Identify the expression to be distributed. We need to distribute 3x^2 to each term of (2x - x + 1).Simplify 3x^2(2x): Simplify 3x^2(2x). 3x^2(2x) = 3 * 2 * x^2 * x = 6x^3Simplify 3x^2(-x): Simplify 3x^2(-x). 3x^2(-x) = 3 * (-1) * x^2 * x = -3x^3Simplify 3x^2(1): Simplify 3x^2(1). 3x^2(1) = 3 * x^2 = 3x^2Combine Simplified Terms: Combine the simplified terms. We know: 3x^2(2x) = 6x^3 3x^2(-x) = -3x^3 3x^2(1) = 3x^2 What is the simplified form of 3x^2(2x - x + 1)? 3x^2(2x - x + 1) = 6x^3 - 3x^3 + 3x^2 = 3x^3 + 3x^2

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$3x^2 (2x -x + 1)$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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3x^2 (2x -x + 1)

Identify Expression: Identify the expression to be distributed. $\newline$ We need to distribute $3x^2$ to each term of $(2x - x + 1)$ .
Simplify $3x^2(2x)$ : Simplify $3x^2(2x)$ .
$3x^2(2x)$
= $3 \times 2 \times x^2 \times x$
= $6x^3$
Simplify $3x^2(-x)$ : Simplify $3x^2(-x)$ .
$3x^2(-x)$
= $3 \times (-1) \times x^2 \times x$
= $-3x^3$
Simplify $3x^2(1)$ : Simplify $3x^2(1)$ . $3x^2(1) = 3 \times x^2 = 3x^2$
Combine Simplified Terms: Combine the simplified terms. $\newline$ We know: $\newline$ $3x^2(2x) = 6x^3$ $\newline$ $3x^2(-x) = -3x^3$ $\newline$ $3x^2(1) = 3x^2$ $\newline$ What is the simplified form of $3x^2(2x - x + 1)$ ? $\newline$ 3x^2(2x - x + 1) $\newline= 6x^3 - 3x^3 + 3x^2 $\newline$ = 3x^3 + 3x^2$