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1 ) Use the expression below to answer parts (a) and (b) AND C

5x-3x-4y+ 1/3 (6x-12y)



a) Simplify the expression by combining like terms. (SHOW YOUR WORK.)


b) Express the answer from part (a) as an equivalent expression in factored form. 5x-



c) In the space below PROVE how you know your expressions are equivalent to the original expression.

Answer :

willow7586

Answer:

a) 4x - 8y

b) 4 × x - 8 × y

c) 4x - 8y is the same as 4 × x - 8 × y because if there is no simbol then it is always multiplication

Step-by-step explanation:

a) start with the parentheses

1/3 (6x - 12y)

multiply 6x and -12y by (1/3)

2x - 4y

so now the equation is 5x -3x -4y + 2x -4y

add together the like terms

5x -3x + 2x = 4x

-4y -4y = -8y

so we have 4x - 8y

b) im not good with factored form but i believe this is right

take 4x and separate them by turning it into 4 × x and same for -8y turn it into -8 × y

c) 4x - 8y is the same as 4 × x - 8 × y because if there is no simbol then it is always multiplication

im not sure how to prove them equal to the original expression i dont really remember that but i hope this helped

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