Question

Expand and simplify:

(4x-6)(2x+1)
​

Answer 1

(4x-6)(2x+1)

multiply

8x2+4x-12x-6

simplify

8x2-8x-6

answer = 8x2-8x-6

Explanation:

first u multiply the stuff inside brackets with each other

then u simplify (add or subtract like terms)

then u get answer 8x2-8x-6

P.S. the 2 after the x is square (i couldnt write a small two sign)

Answer 2

`\huge\boxed{8x^2-8x-6}`

Explanation:

When expanding brackets, you would simply multiply all the values in the first set of brackets by all the values in the second.

The first step would be to multiply 4x by 2x, which gives us
`8x^2`.

Next, you would multiply 4x by the value of 1, giving you 4x. Adding this to the previous value of
`8x^2`gives us
`8x^2+4x`.

The next step would be to multiply -6 by the values in the second bracket. Firstly let us multiply -6 by 2x, which gives us -12x.

We would then add this to the previous expression of
`8x^2+4x`, which gives you
`8x^2+4x-12x`. This can be simplified to
`8x^2-8x`.

In order to fully expand the brackets, we would multiply -6 by 1, which gives us -6.

The final step is to add the value of -6 to the previous expression, this gives us
`8x^2-8x-6`

1) Multiply 4x by 2x.

`4x*2x=8x^2`

2) Multiply 4x by 1.

`4x*1=4x`

3) Add
`\bold{8x^2}` to 4x.

`8x^2+4x`

4) Multiply-6 by 2x.

`2x*-6=-12x`

5) Simplify the expression.

`8x^2+4x-12x =8x^2-8x`

6) Multiply -6 and 1.

`-6*1=-6`

7) Add -6 to
`\bold{8x^2-8x}`.

`8x^2-8x-6`