CPM Homework Help : CC3 Problem 2-51

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2-51.

Simplify the following expressions by combining like terms, if possible.

$x+x-3+4x^2+2x-x$
Step 1(a):
Rearrange and put like terms together.
$x+x+2x-x-3+4x^2$
$\quad 3x \quad\quad -3+4x^2$ 4 arrows, one each from the terms: x, x, 2 x, and negative x, to the combined result of 3 x.
Step 2(a):
Organize the terms from the greatest to the smallest power.
Answer (a):
$4x^2+3x-3$

$8x^2+3x-13x^2+10x^2-25x-x$
Hint (b):
Follow the steps in part (a).
Answer (b):
$5x^2-23x$

$4x+3y$
Hint (c):
Are there any like terms to combine?

$20+3xy-3+4y^2+10-2y^2$

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