Question

Factor the expression using the common factor -7 . -14x 21y-4.9

1) -7
2) x
3) y
4) -4.9

Answer 1

To factor the expression using the common factor -7, we divide each term by -7. The factored expression is -7(2x - 3y + 0.7). After verification by distributing -7 back into the parentheses, we confirm that the factoring is correct.

Step-by-step explanation:

To factor the expression using the common factor -7 from the terms -14x, 21y, and -4.9, we need to divide each term by -7.

First term: -14x / -7 = 2x
Second term: 21y / -7 = -3y
Third term: -4.9 / -7 = 0.7

Now, the factored expression is -7(2x - 3y + 0.7).

To verify if the factoring is correct, we can distribute the -7 back into the parentheses:

-7 * 2x = -14x
-7 * -3y = 21y
-7 * 0.7 = -4.9

Since we get back the original terms, the factored expression is reasonable.