Simplify the expression: 2(a -3) + 4b - 2(a -b -3) + 5

Question

Simplify the expression: 2(a -3) + 4b - 2(a -b -3) + 5

Answer 1

2(a-3)+4b -2(a-b-3) +5

Use PEMDAS arithmetic order of operations where calculations are done in order

Parentheses 1st

Exponents next

Multiplication 3rd

Division 4th

Addition 5th

Subtraction last

in this problem P, then A then S

2(a-3) +4b -2(a-b-3)+5

=2a-6 +4b -2a +2b+6 +5

=2a -2a + 4b+2b -6+6+5

combine like terms

=(2-2)a + (4+2)b +0+5

=0+6b +5

=6b +5