QuestionJuly 15, 2025

Multiply (x+3) by 2x^2-5x+4 square

Multiply (x+3) by 2x^2-5x+4 square
Multiply (x+3) by 2x^2-5x+4
square

Solution
4.4(300 votes)

Answer

2x^3 + x^2 - 11x + 12 Explanation 1. Distribute each term Multiply (x+3) by each term in 2x^{2}-5x+4: - x \cdot 2x^2 = 2x^3 - x \cdot (-5x) = -5x^2 - x \cdot 4 = 4x - 3 \cdot 2x^2 = 6x^2 - 3 \cdot (-5x) = -15x - 3 \cdot 4 = 12 2. Combine like terms Add the results from distribution: - 2x^3 - (-5x^2 + 6x^2) = x^2 - (4x - 15x) = -11x - 12

Explanation

1. Distribute each term<br /> Multiply $(x+3)$ by each term in $2x^{2}-5x+4$: <br />- $x \cdot 2x^2 = 2x^3$<br />- $x \cdot (-5x) = -5x^2$<br />- $x \cdot 4 = 4x$<br />- $3 \cdot 2x^2 = 6x^2$<br />- $3 \cdot (-5x) = -15x$<br />- $3 \cdot 4 = 12$<br /><br />2. Combine like terms<br /> Add the results from distribution:<br />- $2x^3$<br />- $(-5x^2 + 6x^2) = x^2$<br />- $(4x - 15x) = -11x$<br />- $12$
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