Answer:

Simplify the expression.

18 x 2 − 25 x − 12 6

Step-by-step explanation:

Write the problem as a mathematical expression.

3 x 2 − 2 3 x − 2 − x 2 − 3 x

Simplify each term.

3 x 2 − 2 x 3 − 2 − x 2 − 3 x

To write − 2 x 3 as a fraction with a common denominator, multiply by 2 2

3 x 2 − 2 x 3 ⋅ 2 2 − x 2 − 2 − 3 x To write − x 2 as a fraction with a common denominator,

multiply by 3 3 . 3 x 2 − 2 x 3 ⋅ 2 2 − x 2 ⋅ 3 3 − 2 − 3 x  

Eto pa isa:

the answer is x+1

solution :

change the denominator of the second expression by using the commutative property of addition.

2x-3 = -3x+2

then factor out -1

-3x+2 = -1(3x+2)

and then rewrite and connect it to the other expression as one expression.

3x^2-2/3x-2 - -x/3x-2

then go collect the numerators, and copy the common denominator.

3x^2-2-(-x)/3x-2since there are no like terms, multiply the two  

successive signs

(negative times negative equals positive)

3x^2-2-(-x)/3x-2 = 3x^2-2+x/3x-2

rearrange the numerator's terms.

> 3x^2+x-2

since the numerator was a trinomial, use the technique of factoring trinomial in order to factor it out.

3x^2+x-2/3x-2 = (3x+2)(x-1)/(3x-2)

then divide out the GCF.

and simplified form of the difference of 3x^2-2/3x-2 - x/2-3x is  

x+1