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Greeley [361]
3 years ago
9

Math simplify (7a+5b-2c) + (5a+7b) + (2a-7c) + (2a-5b+3c) algebra

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

Answer:

-10a^2+25ab-15ac+12a+12b-2c

Step-by-step explanation:

(7a+5b-2c)+(5a+7b)+(2a-7c)+(2a-5b+3c)

Distribute:

=7a+5b-2c+5a+7b+(2a)(2a)+(2a)(-5)+(2a)(3c)+(-7a)(2a)+(-7a)(-5b)+(-7a)(3c)

=7a+5b-2c+5a+7b+4a^2-10ab+6ac-10a^2+35ab-21ac

Combine all like terms:

=(4a^2-14a^2)+(-10ab+35ab)+(6ac-21ac)+(7a+5a)+(5b+7b)+(-2c)

=-10a^2+25ab-15ac+12a+12b-2c

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