I'm having some trouble and I've not been very good at math, so I need some help with (7x+2)3+8x
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To simplify (7x+2)3+8x.
Multiplication is didtributive over addtion. So (7x+2)3 = 7x*3+2*3= 7*3*x+2*3 =21x+6, as 7x*3 = 7*3*x = 21x by commutative property of multiplication.
Therefore (7x+2)3+8x = 21x+2+8x =21x+8x+6 = (21+8)x +6 =29x+6.
(7x + 2)3 + 8x
Let us use the distribution method :
We know that:
(a+ b)*c = a*c + b*c
==> (7x+2)*3 + 8x = 7x*3 + 2*3 + 8x
==> 21x + 6 + 8x
Now group similar:
==> 29x + 6
Remember PEMDAS--parentheses, exponents, multiply, divide, add, subtract, in that order. Look at the expression you want to simplify. The first thing to do is multiply both of the variables in the parenthesis by the 3 on the outside. Usually, the 3 would be before the parenthesis, but it doesn't matter here, because you want to multiply before you do anything with the 8x. So:
7x times 3 = 21x 2 times 3 = 6 8x stays 8x
Now you can combine the terms that have 'x' 21x+8x=29x, so your expression becomes 21x + 6
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