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Math  /  Algebra

Questionon 12. Homework YOUR SCORE: 8 Simplify. 60 1b1 b 1c1 c 1d (e) (a−3)+(a−5)=(a-3)+(a-5)= 1 g 2a 2b 2 e 2f2 f 2 g
Answer: □\square GRADE ANSWER

Studdy Solution

STEP 1

1. The problem is asking to simplify the expression (a−3)+(a−5)(a-3)+(a-5).
2. The expression involves basic algebraic operations, specifically addition and combining like terms.

STEP 2

1. Identify and combine like terms in the expression (a−3)+(a−5)(a-3)+(a-5).
2. Simplify the resulting expression.

STEP 3

Identify the like terms in the expression. The terms aa in (a−3)(a-3) and aa in (a−5)(a-5) are like terms.
(a−3)+(a−5)=a+a−3−5 (a-3) + (a-5) = a + a - 3 - 5

STEP 4

Combine the like terms:
a+a=2a a + a = 2a
Then, combine the constant terms:
−3−5=−8 -3 - 5 = -8
Thus, the expression simplifies to:
2a−8 2a - 8
The simplified expression is:
2a−8 \boxed{2a - 8}

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