Question

question 8 of 22
which expression is equivalent to 7x^{4}y^{3}z + 2xy^{2}-5y^{3}z^{2}+x^{4}y^{3}z?
a. y^{3}(8x^{4}yz + 2xy^{2}-5yz^{2})
b. y^{2}(8x^{4}y + 2x - 5yz)
c. y(8x^{4}yz + 2x - 5yz^{2})
d. xyz(8x^{4}y^{2}+2y - 5yz)

Explanation:

Step1: Combine like - terms in the given expression

The given expression is \(7x^{4}y^{3}z+2xy^{2}-5y^{3}z^{2}+x^{4}y^{3}z=(7 + 1)x^{4}y^{3}z+2xy^{2}-5y^{3}z^{2}=8x^{4}y^{3}z+2xy^{2}-5y^{3}z^{2}\)

Answer:

a. \(y^{3}(8x^{4}z + 2x-5yz^{2})\)