Perform the indicated operation: $4 b ^ { 2 } ( 3 b - 5 ) ( 5 b + 8 )$
A) $120 b ^ { 6 } - 8 b ^ { 5 } - 320 b ^ { 4 }$
B) $60 b ^ { 4 } - 4 b ^ { 3 } - 160 b ^ { 2 }$
C) $60 b ^ { 4 } - 160 b ^ { 2 }$
D) $60 b ^ { 4 } + 4 b ^ { 3 } - 160 b ^ { 2 }$

Question

Quizplus · Accepted Answer

To multiply the expression, we can use the distributive property and combine like terms.

$4 b ^ { 2 } ( 3 b - 5 ) ( 5 b + 8 ) = 4b^2 * 3b * (5b+8) - 4b^2*5(3b - 5) = 60 b ^ { 4 } - 20b^3 - 160 b ^ { 2 }$

Option B matches the result, so the answer is B.

Perform the Indicated Operation 4b2(3b−5)(5b+8)4 b ^ { 2 } ( 3 b - 5 ) ( 5 b + 8 )4b2(3b−5)(5b+8)

Perform the Indicated Operation $4 b ^ { 2 } ( 3 b - 5 ) ( 5 b + 8 )$