Question

hich strategy would you choose to expand (x + 11)(2x + 3) and write an equivalent expression? Why? Be sure to explain your reasoning. *

Answer 1

`2x^2+25x+33`

Explanation:

Given:
`(x+11)(2x+3)`

To expand: the given expression

Solution:

Use the formula:
`(a+b)(c+d)=a(c+d)+b(c+d)`

In
`(x+11)(2x+3)`, let
`a=x,b=11,c=2x,d=3`

Put these values of
`a,b,c,d` in the formula mentioned above.

Therefore,

`(x+11)(2x+3)\\=x(2x+3)+11(2x+3)\\=2x^2+3x+22x+33\\=2x^2+25x+33`

So, an equivalent expression is
`2x^2+25x+33`