What is the simplified form of (−7x3 + 5x2 − x + 6) − (−8x3 + x2 + 3)? a. −x3 + 4x2 − x + 3 b. x3 + 4x2 − x + 3 c. x3 − 4x2 − x − 3 d. −15x3 + 6x2 − x + 9

B.x3 + 4x2 − x + 3

Step-by-step explanation:

(−7x^3 + 5x^2 − x + 6) − (−8x^3 + x^2 + 3)

Distribute the negative sign

(−7x^3 + 5x^2 − x + 6) + (8x^3 - x^2 - 3)

I like to line them up vertically.

−7x^3 + 5x^2 − x + 6

8x^3 - x^2           - 3

x^3    +4x^2  -x  +3

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions