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expressions-polynomials-linear expre (1 point) simplify each of the fol…

Question

expressions-polynomials-linear expre
(1 point)
simplify each of the following expressions
ask for a hint
a) (7 + m) + 5
b) 6 × (k × 3)
c) 5(x + 3)

Explanation:

Part (a)

Step1: Remove parentheses (associative property)

$(7 + m) + 5 = 7 + m + 5$

Step2: Combine like terms (7 and 5)

$7 + 5 + m = 12 + m$

Step1: Use associative property of multiplication

$6 \times (k \times 3) = (6 \times 3) \times k$

Step2: Multiply 6 and 3

$6 \times 3 = 18$, so we get $18k$

Step1: Apply distributive property

$5(x + 3) = 5 \times x + 5 \times 3$

Step2: Multiply 5 with x and 5 with 3

$5x + 15$

Answer:

$12 + m$

Part (b)