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2015-03-24T12:41:16+05:30

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A  associative property of addition
B   associative property of multiplication
C  distributive property of multiplication
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a+b = b+a
that is commutative
a(b+c) = ab +ac is distributive
okay. Thank you.
you are welcome!
thanks!
2015-03-24T12:45:53+05:30

This Is a Certified Answer

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
A) [(-7) x (-3)] (4)=-7 x [(-3) x 4]
LHS = [(-7) x (-3)] x (4) = [21] x 4 = 84
RHS = -7 x [(-3) x 4] = -7 x [-12] = 84
So LHS = RHS
Associative property

B) 4+[(-3)+12]=[4+(-3)]+12
LHS = 4+[(-3)+12] = 4 + [12-3] = 4 + 9 = 13
RHS = [4+(-3)]+12 = [4-3] + 12 = 1 + 12 = 13
LHS = RHS
Associative property

C) 6[(-3)+6]=6x(-3))+6x6
LHS = 6[(-3)+6] = 6 x [6-3] = 6 x 3 = 18
RHS = 6x(-3))+6x6 = (-18) + 36 = 36 - 18 = 18
LHS = RHS
Distributive Property
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