SOLUTION: Question # 26 says x(z+3)? Question # 40 says 6(78m+20d+12v)? Question # 48 says 6x squared+7/8x-x/8? Question # 68 says 6ab/c(a+2)?

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Question # 26 says x(z+3)? Question # 40 says 6(78m+20d+12v)? Question # 48 says 6x squared+7/8x-x/8? Question # 68 says 6ab/c(a+2)?      Log On


   



Question 50233This question is from textbook
: Question # 26 says x(z+3)?
Question # 40 says 6(78m+20d+12v)?
Question # 48 says 6x squared+7/8x-x/8?
Question # 68 says 6ab/c(a+2)?
This question is from textbook

Answer by tutorcecilia(2152) About Me  (Show Source):
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Question # 26 says x(z+3)
x(z+3) [Solve using the distributive property]
(x)(z)+(x)(3) [Distribute the (x) amongst all of the terms in the parenthesis]
xz+3x [Rearrange the order for the final answer]
.
Question # 40 says 6(78m+20d+12v)
6(78m+20d+12v) [Solve using the distributive property]
(6)(78m)+(6)(20d)+(6)(12v)
[Distribut the (6) amongst all of the terms in the parenthesis]
(6)(78m)+(6)(20d)+(6)(12v) [Multiply if possible]
468m + 120d + 72v [Final answer]
.
Question # 48 says 6x squared+7/8x-x/8?
6x^2+7/8x-x/8
(6x^2+7)(8x)/8x - (x)(8x)/8
[Multiply through with the lowest common denominator (LDC=8x)]
(6x^2+7) - (x)(x) [Cancel wherever possible]
(6x^2+7) - (x^2) [Simplify wherever possible]
6x^2+7 - x^2 [Remove the parenthesis]
5x^2+7=0 [Combine like-terms and set the equation equal to zero]
5x^2+7-7=0-7 [solve for x]
5x^2=-7
x^2=-7/5
sqrtx^2=sqrt+-(-7/5)
x=sqrt+-(-7/5)[Not too sure of this final answer -- sorry!!]
.
Question # 68 says 6ab/c(a+2)
6ab/c(a+2) [Use the distributive property to multiply]
6ab/ac+2c [Final answer]