Question

Write an equivalent expression for (2m+3) (m-1)

Answer 1

(2m+3) (m-1)

To solve, use FOIL.
First- (2m)(m)
Outer- (2m)(-1)
Inner- (3)(m)
Last- (3)(-1)

2m² - 2m + 3m + 2

2m² + m + 2 is the answer.

Answer 2

Answer:
`2m^2+m+3`

Explanation:

The given expression :
`(2m+3) (m-1)`

Left-Distributive Property:-

`a(b+c)=ab+ac`

By using left-distributive property , we get

`(2m+3)m-(2m+3)(1)`

Right-Distributive Property:-

`(b+c)a=ba+ca`

By using right-distributive property , we get

`2m* m+3m-2m*1+3*1\\\\=2m^2+3m-2m+3\\\\=2m^2+m+3`

Hence, the equivalent expression for the given expression is
`2m^2+m+3`