Question

How do you evaluate `(2x+10)\times 7x`?

Answer 1

`14x^2+70x`

Explanation:

`(2x+10)xx7x`
means you multiply everything in the bracket by the term outside

`(2x+10)xx7x=2x xx 7x+10xx7x`

`=14x^2+70x`

Answer 2

`(2x+10)xx7x=color(blue)(14x^2+70x`

Explanation:

Simplify:

`(2x+10)xx7x`

Regroup.

`7x(2x+10)`

Expand.

`7x xx 2x + 7x xx10`

The order of operations indicates that multiplication be done before addition.

`14x^2+70x`

Answer 3

Expand
While expand we follow one simple rule to multiply everything in the bracket to everything outside when it is in multiplication. To simplify this you can say that:
`(a+b)x=ax+bx`
That works for everything, let it be 1000 numbers or subtraction or anything.
So, we get
`2x xx7x+10xx70x`
Simply multiply
`14x^2+70x`
As it can't be simplifed more, this is your answer