subtract a polynomial

Question

simplify (p^2+4p-23)-(3p^2-23p-23).I did the question and got the answer p^2+-3p^2.Is thos right??If not please solve.thanx

Answer 1

In this case, we have two expressions with different coefficients, but identical unknowns.

 

So, we take the first expression, and subtract the second expression

(p² + 4p - 23) - (3p² - 23p -23)

 

The rule is to change the signs, and add.

So we get p² + 4p - 23 - 3p² + 23p + 23

 

When we combine the like terms, we get -2p² + 27p,

which is usually written as 27p - 2p²