Question

Subtract. (5x2−3x−2)−(−2x2−x+10) Express the answer in standard form. Enter your answer in the box.

Answer 1

Answer:

$7x^{2}-2x-12=0$

Step-by-step explanation:

we know that

The standard form of the quadratic equation is equal to $ax^{2} +bx+c=0$

we have

$(5x^{2}-3x-2)-(-2x^{2}-x+10)$

eliminate the parenthesis

$5x^{2}-3x-2+2x^{2}+x-10$

group terms that contain the same variable

$(5x^{2}+2x^{2})+(-3x+x)+(-2-10)$

combine like terms

$7x^{2}-2x-12=0$

Answer 2

Answer:

7x²-2x-12

Step-by-step explanation:

We have given an expression.

(5x²-3x-2)-(-2x²-x+10)

We have to subtract them.

ax²+bx+c is general form of an expression.

We have to transform above equation in general form of expression.

Open parentheses and distribute negative sign to second parentheses.

5x²-3x-2-(-2x²)-(-x)-(10)

5x²-3x-2+2x²+x-10

Collect the like terms

5x²+2x²-3x+x-2-10

Add like terms

7x²-2x-12 which is the answer.