Question

Find the quotient of (3x2y2 + 9x3y2z) ÷ 3x2y2 Please place a space between each term in your answer . Squared terms should be expressed in the form x^2 without spaces. Example: 5x^{2}+3x-2 Should be expressed as 5x^2 + 3x - 2

Answer 1

ANSWER

The quotient is


`1 + 3xz`

Step-by-step explanation

The given expression is


`\frac{3 {x}^(2) y^2+ 9 {x}^(3) {y}^(2) z}{3 {x}^(2) {y}^(2)}`

We take out the highest common factor in the numerator to obtain


`= \frac{3 {x}^(2) {y}^(2) (1 + 3xz)}{3 {x}^(2) {y}^(2)}`

We cancel out the common factors to obtain,


`= 1 + 3xz`