Math

QuestionSimplify the expression 6x+(5x8y4)6 x + (5 x - 8 y - 4).

Studdy Solution

STEP 1

Assumptions1. The given algebraic expression is 6x+(5x8y4)6 x+(5 x-8 y-4). We need to simplify this expression by combining like terms.

STEP 2

First, we need to remove the parentheses. In this case, there is no number outside the parentheses that we need to distribute, so we can simply remove the parentheses.
6x+5x8y46 x+5 x-8 y-4

STEP 3

Now, we can combine like terms. Like terms are terms that have the same variable and exponent. In this case, 6x6x and 5x5x are like terms.
6x+5x8y=(6+5)x8y6 x+5 x-8 y- = (6+5)x -8y -

STEP 4

Calculate the sum of the coefficients of the like terms.
(6+)x8y4=11x8y4(6+)x -8y -4 =11x -8y -4So, the simplified form of the given algebraic expression 6x+(x8y4)6 x+( x-8 y-4) is 11x8y411x -8y -4.

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