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What is the factored form of -4/5(30x - 40) + (42x + 4)? ​

2 Answers

10 votes

Answer:

18x+36

Explanation:

1. Simplify \frac{4}{5}(30x-40)54(30x−40) to \frac{4(30x-40)}{5}54(30x−40).

-\frac{4(30x-40)}{5}+42x+4−54(30x−40)+42x+4

2. Factor out the common term 1010.

-\frac{4\times 10(3x-4)}{5}+42x+4−54×10(3x−4)+42x+4

3. Simplify 4\times 10(3x-4)4×10(3x−4) to 40(3x-4)40(3x−4).

-\frac{40(3x-4)}{5}+42x+4−540(3x−4)+42x+4

4. Simplify \frac{40(3x-4)}{5}540(3x−4) to 8(3x-4)8(3x−4).

-8(3x-4)+42x+4−8(3x−4)+42x+4

5. Expand by distributing terms.

-(24x-32)+42x+4−(24x−32)+42x+4

6. Remove parentheses.

-24x+32+42x+4−24x+32+42x+4

7. Collect like terms.

(-24x+42x)+(32+4)(−24x+42x)+(32+4)

8. Simplify.

18x+3618x+36

hope this helps

User Ikh
by
3.8k points
10 votes

Answer:

18(x + 2)

Explanation:

-4/5 ( 30x - 40) + (42x + 4) = -24x + 32 + 42x + 4 = 18x + 36 = 18(x + 2)

User JanT
by
4.3k points