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Distributive Law Multiplication











































Expand the following expression:

(7+3)(a+b)

Use the Distributive Law.

Comments for Distributive Law Multiplication

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Mar 28, 2011
Distributive Law Multiplication
by: Staff


The question:

What is (7+3)(a+b) answer?


The answer:

Approach #1: You can add the 7 and the 3 before you apply the distributive law:

7 + 3 = 10

(7+3)(a+b) = (10)(a+b) = 10*a + 10*b

= 10a + 10b


Approach #2: You can also apply the distributive law this way:

(7+3)(a+b) = 7*(a+b) + 3*(a+b)


Notice that (a+b) is first multiplied by the 7, and then (a+b) is multiplied by the 3. Finally, the results of the two multiplications are added together.

7*(a+b) = 7*a + 7*b = 7a + 7b
3*(a+b) = 3*a +3*b = 3a +3b

= 7a + 7b + 3a + 3b

= 7a + 3a + 7b + 3b

= 10a + 10b (this is exactly the same answer we got by initially adding the 7 + 3 before applying the distributive law)


The final answer is: (7+3)(a+b) = 10a + 10b



Thanks for writing.


Staff
www.solving-math-problems.com



Sep 29, 2013
distributive this problem
by:

How about: 9(4x+5y+8)

Oct 08, 2013
9(4x + 5y + 8)
by: Staff


9(4x+5y+8)

= (9 * 4x) + (9 * 5y) + (9 * 8)

= (9 * 4 * x) + (9 * 5 * y) + (9 * 8)

= (36 * x) + (45 * y) + (72)

= 36x + 45y + 72


The final answer is: 9(4x+5y+8) = 36x + 45y + 72

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