which of the following statements about 42xy - 49x + 30y - 35 are true? check all of the boxes that apply…

which of the following statements about 42xy - 49x + 30y - 35 are true? check all of the boxes that apply. one of the factors is (6y + 7). one of the factors is (7x + 5). one of the factors is (6y - 7). one of the factors is (7x - 5). this expression is prime. done

which of the following statements about 42xy - 49x + 30y - 35 are true? check all of the boxes that apply. one of the factors is (6y + 7). one of the factors is (7x + 5). one of the factors is (6y - 7). one of the factors is (7x - 5). this expression is prime. done

Answer

Answer:

C. One of the factors is (6y - 7), D. One of the factors is (7x + 5)

Explanation:

Step1: Group the terms

$$42xy - 49x+30y - 35=(42xy - 49x)+(30y - 35)$$

Step2: Factor out the GCF from each group

For the first - group (42xy - 49x = 7x(6y - 7)), and for the second - group (30y - 35 = 5(6y - 7)).

Step3: Factor out the common binomial factor

((42xy - 49x)+(30y - 35)=(6y - 7)(7x + 5)) So the factors of (42xy - 49x + 30y - 35) are ((6y - 7)) and ((7x + 5)).