Math  /  Algebra

QuestionFully simplify the following: a) 2t×u×8-2 t \times u \times 8 b) 6d×3f6 d \times-3 f

Studdy Solution

STEP 1

1. We are asked to simplify each expression by combining constants and variables.
2. The multiplication of constants and variables follows the associative and commutative properties.

STEP 2

1. Simplify expression (a) by multiplying constants and combining variables.
2. Simplify expression (b) by multiplying constants and combining variables.

STEP 3

For expression (a) 2t×u×8 -2 t \times u \times 8 , first multiply the constants 2-2 and 88.
2×8=16 -2 \times 8 = -16

STEP 4

Combine the result with the variables tt and uu.
16×t×u=16tu -16 \times t \times u = -16tu

STEP 5

For expression (b) 6d×3f 6 d \times -3 f , first multiply the constants 66 and 3-3.
6×3=18 6 \times -3 = -18

STEP 6

Combine the result with the variables dd and ff.
18×d×f=18df -18 \times d \times f = -18df
The fully simplified expressions are: a) 16tu -16tu b) 18df -18df

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