Expand and simplify (2x+1)(x-2)(x+3)

2^3+3^2−11−6

Explanation:

(2+1)(−2)(+3)

Distribute

(2+1)(−2)(+3)+1(−2)(+3)

(2x+1)(x−2)(x+3)2(−2)(+3)+1(−2)(+3)+1(−2)(+3)

More Distributing

2(+3)⋅2−4(+3)+1(−2)(+3)

23+62−4(+3)+1(−2)(+3)

Even More Distributing

2^3+6^2−4(+3)+1(−2)(+3)

2^3+6^2−42−12+1(−2)(+3)

Combine like terms

2^3+6^2−4^2−12+1(−2)(+3)

2x^3+2^2−12+1(−2)(+3)

Solution

2^3+3^2−11−6

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2x³ + 3x² - 11x - 6

Step-by-step explanation:

f(x) = (2x + 1)(x - 2)(x + 3)

(2x + 1)(x - 2) = 2x² - 3x - 2

(2x² - 3x - 2)(x + 3) = 2x³ - 3x² - 2x + 6x² - 9x - 6 = 2x³ + 3x² - 11x - 6

1.30

step-by-step explanation:

they used 313 gallons of paint