What is the simplified product of (2x) (x^2) + (2x) (x) + (2x) (-2) + (3) (x^2) + (3) (x) + (3) (-2)

Question

Rihanna King

Mathematics

26 December, 14:56

What is the simplified product of (2x) (x^2) + (2x) (x) + (2x) (-2) + (3) (x^2) + (3) (x) + (3) (-2)

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Answers (1)

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Jerry Ortega · Answer 1

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

Simplifying

(2x) (x2) + (2x) (x) + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

Remove parenthesis around (2x)

2x (x2) + (2x) (x) + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

Multiply x * x2

2x3 + (2x) (x) + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

Remove parenthesis around (2x)

2x3 + 2x (x) + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

Multiply x * x

2x3 + 2x2 + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

Remove parenthesis around (2x)

2x3 + 2x2 + 2x (-2) + (3) (x2) + (3) (x) + (3) (-2)

Reorder the terms for easier multiplication:

2x3 + 2x2 + 2 * - 2x + (3) (x2) + (3) (x) + (3) (-2)

Multiply 2 * - 2

2x3 + 2x2 + - 4x + (3) (x2) + (3) (x) + (3) (-2)

Multiply 3 * - 2

2x3 + 2x2 + - 4x + 3x2 + 3x + - 6

Reorder the terms:

-6 + - 4x + 3x + 2x2 + 3x2 + 2x3

Combine like terms: - 4x + 3x = - 1x

-6 + - 1x + 2x2 + 3x2 + 2x3

Combine like terms: 2x2 + 3x2 = 5x2

-6 + - 1x + 5x2 + 2x3