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

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

hayleyl05

06.01.2022

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

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