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How do you evaluate #4( 3+ 1) - 2( 6+ 4)#?

Answer 1

Nova Allen

The result is #-4#.

Follow PEMDAS, or the order of operations. PEMDAS stands for:

Here's our expression:

#color(white)=4(3+1)-2(6+4)#

First, simplify the expression in the parentheses:

#color(white)=4(color(red)(3+1))-2(color(blue)(6+4))#

#=4(color(red)4)-2(color(blue)10)#

Next, simplify any exponents. (There are none.) Then, do any multiplication:

#color(white)=color(orange)(4(4))-color(green)(2(10))#

#=color(orange)16-color(green)20#

Lastly, since there isn't any division or addition left, do the final subtraction step:

#color(white)=16-20#

#=-4#

That's the answer!

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Answer 2

Riley Anderson

To evaluate 4(3 + 1) - 2(6 + 4), you first perform the operations inside the parentheses, then multiply and subtract according to the order of operations.

= 4(3 + 1) - 2(6 + 4) = 4(4) - 2(10) = 16 - 20 = -4

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.