(3x²-21x+30)divided(x²-25) divide the following expression
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Answered by
0
Answer:
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Answered by
1
Answer:
3x - 6
x+5
Step-by-step explanation:
3x²-21x+30
x²-25
take 3 as common from the numerator
3(x²-7x+10)
(x)² - 5²
use identities and simplify
1. Splitting the middle term for 7x
numerator: 10 multiplied by x = 10x so the product must be 10 and the sum must be 7
denominator: a² - b² = (a+b)(a-b)
3(x²-5x-2x+10)
(x)² - 5²
3(x²-5x-2x+10)
(x+5)(x-5)
take common from numerator
3(x (x-5) -2 (x-5))
(x+5)(x-5)
3(x-5)(x-2)
(x+5)(x-5) cancel (x-5)
3(x-2)
(x+5)
You can simplify further if you want
it will be equal to 3x - 6/ x+5
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