High School

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Simplify this expression:

[tex]2x^3(5x^3 - 7)[/tex]

A. [tex]10x^6 - 7[/tex]

B. [tex]10x^6 - 14x^3[/tex]

C. [tex]10x^9 - 7[/tex]

D. [tex]10x^9 - 14x^3[/tex]

Answer :

Sure! Let's simplify the expression step-by-step:

The given expression is:

[tex]\[ 2x^3(5x^3 - 7) \][/tex]

To simplify this, we need to distribute [tex]\(2x^3\)[/tex] to each term inside the parentheses:

1. Distribute [tex]\(2x^3\)[/tex] to the first term [tex]\(5x^3\)[/tex]:
[tex]\[
2x^3 \times 5x^3 = 10x^{3+3} = 10x^6
\][/tex]

2. Distribute [tex]\(2x^3\)[/tex] to the second term [tex]\(-7\)[/tex]:
[tex]\[
2x^3 \times (-7) = -14x^3
\][/tex]

Now, combine the results from both steps:

[tex]\[ 10x^6 - 14x^3 \][/tex]

Therefore, the simplified expression is:

[tex]\[ 10x^6 - 14x^3 \][/tex]

This matches with option B.

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Rewritten by : Barada