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How do you simplify #\frac { - 21( 5) + 5( 5) } { - 7- ( - 3) }#?

Answer 1

Genesis Allen

#20#

#(-21(5)+5(5))/(-7-(-3))=(-105+25)/(-7+3)=(-80)/-4=80/4#

Simplify by dividing both the numerator and denominator by #4#

#(80divide4)/(4divide4)=20/1=20#

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Answer 2

Savannah Anderson

To simplify the expression (\frac{-21(5) + 5(5)}{-7 - (-3)}), follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):

Simplify the expressions within parentheses: (5(5) = 25) and (-(-3) = 3).
Calculate the products: (-21 \times 5 = -105) and (5 \times 5 = 25).
Substitute the values into the expression: (\frac{-105 + 25}{-7 + 3}).
Perform the addition: (-105 + 25 = -80) and (-7 + 3 = -4).
Simplify the expression: (\frac{-80}{-4} = 20).

Therefore, the simplified expression is (20).

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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.