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:  $2m^2+m+3$

Step-by-step 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

$2m\times m+3m-2m\times1+3\times1\\\\=2m^2+3m-2m+3\\\\=2m^2+m+3$

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