Question

Look at teh screenshot pls

Answer 1

Hey there!

When they are asking which of them are equal we need to solve a, b, c and d and see if they match up to 6x^2-2x-20.

Starting with A:

Expand:

3 x 2x^2 + 3 x -x + 3 x -6

Simplify 3 x 2x^2 to 6x^2

6x^2 + 3 x -x + 3 x -6

Regroup.

6x^2 = 3x + 3 x -6

Simplify 3 x -6 to -18

6x^2 - 3x - 18

That does not match up to 6x^2-2x-20.

A is INCORRECT.

Solving B:

Collect like terms:

4x - 2x + 2x^2 - 20

The ones bolded are like terms.

So, we now collect them and add them.

4x^2 + 2x^2 = 6x^2

6x^2 - 2x - 20

That matches up with 6x^2-2x-20.

B is CORRECT.

Solving C:

Multiply the parentheses then multiply:

6x^2-12x+10x-20

Collect like terms:

6x^2 - 2x - 20

This matches up with 6x^2-2x-20.

Thus, C is CORRECT.

Solving D:

Multiply the terms in the parentheses by -2:

6x^2 - 2x - 2 x 10

Multiply the numbers:

6x^2 - 2x - 20

This also matches up with 6x^2 - 2x - 20 / they are equal.

Thus, D is also CORRECT.

Therefore, our answers are:

B, C, D

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