Question

original Expression4(x +3)5(2 +10m + 4)a(8 +a) +3athens find Distributed Expression, then Simplified Expression

Answer 1

To obtain the distributed Expression

A.

4(x + 3)

We will expand by multiplying each term in the bracket by 4

=> 4 X x + 4 X 3

=> 4x + 12

B.

5 (2 + 10m + 4)

WE will also multiply each term by 5

=> 5 X 2 + 5 X 10m + 5 X 4

=> 10 + 50 M + 20

Upon collecting like terms to simplify the expression

=> 50M + 30

C.

a (8 + a) + 3a

`\begin{gathered} we\text{ will expand the term in the bracket by multiplying by a} \\ a\text{ x 8 + a x a + 3a} \\ 8a\text{ + }a^2\text{ + 3a} \end{gathered}`

We then Re-arrange by collecting like terms

`\begin{gathered} a^2+8a\text{ +3a} \\ a^2+\text{ 11a} \end{gathered}`