Question

ILL GIVE 100 POINTS PLS ANSWER QUICK

Simplify negative two thirds times m times quantity negative four sevenths times m minus one fifth end quantity.

negative 8 over 21 times m squared minus 2 over 15 times m
8 over 21 times m squared plus 2 over 15 times m
negative 8 over 21 times m squared plus 2 over 15 times m
8 over 21 times m squared plus one fifth

Answer 1

`(8)/(21)m^2+(2)/(15)m`

Explanation:

Given expression:

`-(2)/(3)m\left(-(4)/(7)m-(1)/(5)\right)`

Apply the distributive law a(b - c) = ab - ac :

`\implies \left(-(2)/(3)m\right)\cdot \left(-(4)/(7)m\right)-\left(-(2)/(3)m\right)\cdot \left((1)/(5)\right)`

Apply the rule -(-a) = a :

`\implies (2)/(3)m\cdot(4)/(7)m+(2)/(3)m\cdot (1)/(5)`

`\implies (2)/(3)\cdot(4)/(7) \cdot m \cdot m+(2)/(3)\cdot (1)/(5)\cdot m`

`\textsf{Apply the fraction rule} \quad (a)/(c)\cdot(b)/(d)=(ab)/(cd):`

`\implies (2\cdot 4)/(3\cdot 7) \cdot m \cdot m+(2\cdot 1)/(3\cdot 5) \cdot m`

Simplify:

`\implies (8)/(21)m^2+(2)/(15)m`