The expression \(-8x^3(7x^6 − 3x^5)\) is equivalent to:

A. \(-56x^9 + 24x^8\)
B. \(-56x^9 − 24x^8\)
C. \(-56x^{18} + 24x^{15}\)
D. \(-56x^{18} − 24x^{15}\)
E. \(-32x^4\)

− 8 x 3 ( 7 x 6 − 3 x 5 ) = − 56 x 9 + 24 x 8

Answered by konrad509 | 2024-06-10

− 8 x 3 ( 7 x 6 − 3 x 5 ) = ( − 8 x 3 ) ⋅ 7 x 6 − ( − 8 x 3 ) ⋅ 3 x 5 = = − 56 x 3 + 6 + 24 x 3 + 5 = − 56 x 9 + 24 x 8 A n s w er : A . − 56 x 9 + 24 x 8

Answered by Lilith | 2024-06-10

The expression − 8 x 3 ( 7 x 6 − 3 x 5 ) simplifies to − 56 x 9 + 24 x 8 , which corresponds to option A. This is achieved by distributing − 8 x 3 over the terms inside the parentheses. Therefore, option A is the answer.
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Answered by konrad509 | 2024-10-15