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QuestionSimplify the expression: 4y−y(3−7y)+5+2(8−y)4y - y(3 - 7y) + 5 + 2(8 - y). What should you do first?

Studdy Solution

STEP 1

Assumptions1. The expression is 4y−y(3−7y)+5+(8−y)4 y-y(3-7 y)+5+(8-y). We need to simplify the expression

STEP 2

The first step in simplifying this expression is to distribute the −y-y and 22 to the terms inside the parentheses.This is because of the order of operations, also known as BIDMAS or PEMAS, which stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).In this case, we have parentheses (or brackets) that include multiplication, so we need to perform these operations first.
4y−y(−7y)+5+2(8−y)4 y-y(-7 y)+5+2(8-y)

STEP 3

istribute −y-y to the terms inside the first parentheses.
y−y∗3+y∗7y+5+2(8−y) y - y*3 + y*7y +5 +2(8-y)

STEP 4

istribute 22 to the terms inside the second parentheses.
4y−y∗3+y∗7y++2∗8−2∗y4 y - y*3 + y*7y + +2*8 -2*y

STEP 5

Perform the multiplication operations.
4y−3y+7y2+5+16−2y4 y -3y +7y^2 +5 +16 -2y

STEP 6

Now, combine all like terms.
y2−y+21y^2 - y +21The simplified expression is y2−y+21y^2 - y +21.

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