Simplify: (5x + 30) / (x2 - 36) .
Which steps will correctly simplify this expression?
...
Mathematics, 04.05.2021 06:20 Rodriguezi9492
Simplify: (5x + 30) / (x2 - 36) .
Which steps will correctly simplify this expression?
a.
Factor First...
Factor the numerator ==> 5(x + 6)
Factor the denominator ==> (x + 6) (x - 6)
Look for common factors in the numerator & denominator ==> (x + 6)
Cancel out (x + 6) to get reduced fraction ==> 5 / (x - 6)
b.
Look for stuff to cancel...
Cancel the x in 5x and x2==> (5 + 30 ) / (x - 36).
Now cancel out 6 in 30 and 36 ==> (5 + 5) / (x - 6)
Now combine like terms & simplify ==> 10 / x - 6
c.
Factor First...
Factor the numerator ==> 5(x + 6)
Factor the denominator ==> (x - 4) (x + 9)
Look for common factors in the numerator & denominator ==>NONE
This fraction cannot be reduced ==> (5x + 30) / (x2 - 36)
d.
Look for stuff to cancel...
Cancel the x in 5x and x2==> (5 + 30 ) / (x - 36).
Now simplify ==> 35 / (x - 36)
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