Distribute Terms: Distribute (3x + 1) to each term of (5x - 2). (5x - 2)(3x + 1) = 5x(3x + 1) - 2(3x + 1) = (5x * 3x) + (5x * 1) - (2 * 3x) - (2 * 1) = 15x^2 + 5x - 6x - 2Combine Like Terms: Combine like terms from the result of Step 1. 15x^2 + 5x - 6x - 2 = 15x^2 - x - 2Distribute -4: Distribute -4 to (3x + 1). -(3x + 1)4 = -4(3x + 1) = -(4 * 3x) - (4 * 1) = -12x - 4Combine Results: Combine the results from Step 2 and Step 3. 15x^2 - x - 2 - (12x + 4) = 15x^2 - x - 2 - 12x - 4Combine Like Terms: Combine like terms from the result of Step 4. 15x^2 - x - 2 - 12x - 4 = 15x^2 - 13x - 6

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$(5 x-2)(3 x+1)-(3 x+1) 4$

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Math Problems

Algebra 2

Add, subtract, multiply, and divide polynomials

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(5 x-2)(3 x+1)-(3 x+1) 4

Distribute Terms: Distribute $(3x + 1)$ to each term of $(5x - 2)$ . $(5x - 2)(3x + 1) = 5x(3x + 1) - 2(3x + 1) = (5x \cdot 3x) + (5x \cdot 1) - (2 \cdot 3x) - (2 \cdot 1) = 15x^2 + 5x - 6x - 2$
Combine Like Terms: Combine like terms from the result of Step $1$ . $\newline$ $15x^2 + 5x - 6x - 2$ $\newline$ = $15x^2 - x - 2$
Distribute $-4$ : Distribute $-4$ to $(3x + 1)$ . $\newline$ $-(3x + 1)4 = -4(3x + 1)$ $\newline$ $= -(4 \times 3x) - (4 \times 1)$ $\newline$ $= -12x - 4$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $15x^2 - x - 2 - (12x + 4)$ $\newline$ = $15x^2 - x - 2 - 12x - 4$
Combine Like Terms: Combine like terms from the result of Step $4$ . $\newline$ $15x^2 - x - 2 - 12x - 4$ $\newline$ = $15x^2 - 13x - 6$