Find the indicated product by applying the distributive property. ( x + 4)( y + z + 8)
A) xy + xz + 4 x + 4 y + 8 z + 32
B) xy + xz + 8 x + 4 y + 4 z + 32
C) xy + yz + 8 x + 4 y + 4 z + 4
D) xy + xz + 8 x + 4 y + 32
E) none of these

Question

Quizplus · Accepted Answer

Distributing x to y, z, and 8 gives xy + xz + 8x, and then distributing 4 to y, z, and 8 gives 4y + 4z + 32. So the final expression is xy + xz + 8x + 4y + 4z + 32, which matches answer choice B.

Find the Indicated Product by Applying the Distributive Property