Question

Multiply and collect like terms: (2m+2n)(6m−6n)

Answer 1

Answer: 12m^2 - 12n^2

Hence, When you Multiply and Collect LikeTerms:

(2m + 2n)(6m - 6n)

= 12m^2 - 12n^2

Explanation:

Multiply and collect like terms: APPLY THE FOIL METHOD / Distributive Property:

(2m+2n)(6m−6n):

SOLVE THE PROBLEM:

(2m + 2n) (6m - 6n)

(2m + 2n) (6m + -6n)

DISTRIBUTE THE POLYNOMIAL:

2m * (6m - 6n) + 2n * (6m - 6n)

(2m) (6n) + (2m) ( -6n) + (2n) (6m) + (2n) ( -6n)

MULTIPLY THE MONOMIAL BY THE POLYNOMIAL:

12m^2 - 12mn + 12mn - 12n^2

= 12m^2 - 12n^2

Draw a conclusion:

Hence, When you Multiply and Collect LikeTerms:

(2m + 2n)(6m - 6n)

= 12m^2 - 12n^2

I hope this helps you!

Answer 2

Answer: 12m²-12n²

Explanation:

To solve this, you have to multiply each term in the first parenthesis group with each term in the second.

So in other words in (a+b)(c+d) you would multiply a·c, b·c, a·d & b·d, then simplify and combine like terms.

In this case:

2m·6m=12m²

2n·6m=12nm

2m·-6n=-12nm

2n·6n=-12n²

Now our equation is 12m²+12nm-12nm-12n².

From here, we combine the like terms. 12nm-12nm (12-12=0), so 0nm=0.

Therefore, our final answer is 12m²-12n²

Hope that helped a lot. Let me know any more questions.

:)