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Which of the following correctly shows the first step when factoring 5a^2b-5a^2c-5db+5dc by grouping?
1) 5a^2 (b-c)-5d(b-c)
2) 5a^2 (b+c) +5d(b+c)
3) 5a^2 (b+c) -5d(b+c)
4)5a^2 (b-c) +5d(b-c)

Respuesta :

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Answer:

Correct choice is 1) [tex]5a^2 (b-c)-5d(b-c)[/tex].

Step-by-step explanation:

Given expression is : [tex]5a^2b-5a^2c-5db+5dc[/tex]

Now we need to factor it by completing square to match the correct choice.

[tex]5a^2b-5a^2c-5db+5dc[/tex]

Make two groups having first two terms and last two terms then find GCF of each.

[tex]=5a^2(b-c)-5d(b-c)[/tex]

Hence correct choice is 1) [tex]5a^2 (b-c)-5d(b-c)[/tex].

Answer:

the answer is 1.

Step-by-step explanation:

I got it right on my test.