Simplify the expression by adding or subtracting the linear expressions. 12x + 6 - 8x + 7 * 4x + 1
20x + 1
4x + 13
20x + 13

Step-by-step explanation:

12x + 6 - 8x + 7

= 12x - 8x + 6 + 7

= 4x + 13

Now multiplication with first part

4x + 1

(4x + 13) * (4x +1)

=4x * (4x +1) + 13 * (4x +1)

=16x^2 + 4x + 52x + 13

=16x^2 + 56x + 13

Now multiplication with second part

20x + 1

(4x + 13) * (20x + 1)

=4x * (20x + 1) + 13 * (20x + 1)

=80x^2 + 4x +260x + 13

=80^2 + 264x + 13

Now multiplication with third part

4x + 13

(4x + 13) * (4x + 13)

=4x * (4x + 13) + 13 * (4x + 13)

=16x^2 + 52x + 52X + 169

=16x^2 + 105x + 169

also equal to

(4x + 13)^2

Now multiplication with fourth part

20x + 13

(4x + 13) * (20x + 13)

=4x * (20x + 13) + 13 * (20x + 13)

=80x^2 + 52x + 260x + 169

=80x^2 + 312x + 169

step-by-step explanation: yes