We want to rewrite the given expression using the Distributive Property and then evaluate it for y=3.
2y^2-5y
To use
the Distributive Property in reverse, we have to find the greatest common factor (GCF) between the terms.
\begin{aligned}
2y^2&=2\cdot {\color{#009600}{y}}\cdot y \\
5y&= 5\cdot {\color{#009600}{y}}
\end{aligned}
In this case, the GCF is y. Let's rewrite our expression.
2y^2-5y= y(2y-5)
Now, we can substitute 3 for x in the expression.
We want to rewrite the given expression using the Distributive Property and then evaluate it for z=4. We will distribute 3 to the terms inside the parentheses.
We want to rewrite the given expression using the Distributive Property and then evaluate it for z=4.
5z^2-15z
To use the Distributive Property in reverse, we have to find the greatest common factor (GCF) between the terms.
5z^2&= 5* z* z
15z&= 5* 3* z
In this case, the GCF is 5* z= 5z. Let's rewrite our expression.
5z^2-15z= 5z(z-3)
Now, we can substitute 4 for z in the expression.
We want to rewrite the given expression using the Distributive Property and then evaluate it for y=3 and z=4.
4y+6z
To use the Distributive Property in reverse, we have to find the greatest common factor (GCF) between the terms.
4y&= 2* 2* y
6z&= 2* 3* z
In this case, the GCF is 2. Let's rewrite our expression.
4y+6z= 2(2y+3z)
Now, we can substitute 3 for y and 4 for z in the expression.
