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How do you simplify #5x(3x^2 - x + 3)#?

Answer 1

Savannah Anderson

See the solution process below:

Each term enclosed in parenthesis is multiplied by the term outside the parenthesis:

#color(red)(5x)(3x^2 - x + 3) ->#

#(color(red)(5x) xx 3x^2) - (color(red)(5x) xx x) + (color(red)(5x) xx 3) ->#

#15x^3 - 5x^2 + 15x#

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Answer 2

Savannah Anderson

To simplify (5x(3x^2 - x + 3)), distribute (5x) across each term inside the parentheses:

(5x(3x^2 - x + 3) = 15x^3 - 5x^2 + 15x)

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Answer 3

Eva Adamson

To simplify the expression (5x(3x^2 - x + 3)), distribute the (5x) across the terms inside the parentheses:

[ 5x \times 3x^2 = 15x^3 ] [ 5x \times (-x) = -5x^2 ] [ 5x \times 3 = 15x ]

Combine these terms to get the simplified form of the expression:

[ 15x^3 - 5x^2 + 15x ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.