Answered

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The question is in the picture (Alegbra 1)

The Question Is In The Picture Alegbra 1 class=

Sagot :

Answer:

[tex]\frac{s}{s-4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{s^2+6s}{s^2+10s+24}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ( factor and simplify fraction on left )

= [tex]\frac{s(s+6)}{(s+4)(s+6)}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ← cancel (s + 6) on numerator/ denominator

Leave first fraction, change division to multiplication, turn second fraction upside down

= [tex]\frac{s}{s+4}[/tex] × [tex]\frac{s+4}{s-4}[/tex] ← cancel (x + 4) on numerator/ denominator

= [tex]\frac{s}{s-4}[/tex]

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