please help me simplify this expression!!
-12 divided by 3 x (-8 + (-4)^2 - 6) + 2
and (10-6)^2+6x2-(3+2)^2
For the first one,
-12 / 3 * (-8 + (-4)^2 - 6) + 2
= -12 / 3 * (-8 + 16 - 6) + 2
= -12 / 3 * 2 + 2
= -4 * 2 + 2
= -8 + 2
= -6
You get -3/2 if you interpret it as bb did, but those extra parentheses are not there.
To simplify the given expression, let's break it down step by step.
Step 1: Evaluate the expression inside the parentheses.
-4^2 = (-4) × (-4) = 16
Therefore, the expression becomes: -12 ÷ 3 × (-8 + 16 - 6) + 2
Step 2: Perform the addition and subtraction inside the parentheses.
-8 + 16 - 6 = 2
The expression becomes: -12 ÷ 3 × 2 + 2
Step 3: Divide -12 by 3.
-12 ÷ 3 = -4
The expression becomes: -4 × 2 + 2
Step 4: Perform the multiplication.
-4 × 2 = -8
The expression becomes: -8 + 2
Step 5: Perform the final addition.
-8 + 2 = -6
Therefore, the simplified expression is -6.
For the first one:
-12 / ( 3 x (-8 + (-4)^2 - 6) + 2 )
start with the most inside parentheses
(-8 + (-4)^2 - 6)
pemdas says exponents next
-8 + 16 - 6
=2
-12 / ( 3 x (2) + 2 )
inside parentheses
( 3 x 2 + 2 )
start with multiplication then addition
6 + 2 =
8
so it's
-12 / (8) =
-3/2