Question

SIMPLIFY (m+n)(2m+n)+(m+2n)(m-n)

Answer 1

Step-by-step explanation:

STEP

1

:

m2 + mn

Simplify ———————

n2 - mn

STEP

2

:

Pulling out like terms

2.1 Pull out like factors :

m2 + mn = m • (m + n)

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

n2 - mn = -n • (m - n)

Equation at the end of step

3

:

(m+(n2)) m•(m+n)

———————————+————————

((m2)-(n2)) -n•(m-n)

STEP

4

:

m + n2

Simplify ———————

m2 - n2

Answer 2

Answer:

heya mate ☺

$(m + n)(2m + n) + (m + 2n)(m - n) \\ = 2m^{2} + mn + 2mn + n^{2} + (m ^{2} -mn + 2mn - 2n ^{2} ) \\ = 2m ^{2} + mn + 2mn + n ^{2} + m^{2} - mn + 2mn - 2n ^{2} \\ = 3m ^{2} + 2mn - n ^{2}$

✌ hope it helps u ✌

➡➡ scroll this side to see it properly