Question

Simplify (8x2 − 1 + 2x3) − (7x3 − 3x2 + 1).

Answer 1

@anthony1914 What have you done to solve this problem? Can you show me the steps you took to answer this?

Answer 2

Any ideas?
:-)

Answer 3

Subtracting polynomials is like subtracting real numbers.

Add the opposite of each term of the polynomial and simplify.

Answer 4

Let's simplify step-by-step.
8x2−1+2x3−(7x3−3x2+1)
Distribute the Negative Sign:
=8x2−1+2x3+−1(7x3−3x2+1)
=8x2+−1+2x3+−1(7x3)+−1(−3x2)+(−1)(1)
=8x2+−1+2x3+−7x3+3x2+−1
Combine Like Terms:
=8x2+−1+2x3+−7x3+3x2+−1
=(2x3+−7x3)+(8x2+3x2)+(−1+−1)
=−5x3+11x2+−2
Answer:
=−5x3+11x2−2