Simplify (25s^2-30s+5)÷(5s-1)

Math
(25s2-30s+5)÷(5s-1)
Rewrite the division as a fraction.
25s2-30s+55s-1
Simplify the numerator.
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Factor 5 out of 25s2-30s+5.
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Factor 5 out of 25s2.
5(5s2)-30s+55s-1
Factor 5 out of -30s.
5(5s2)+5(-6s)+55s-1
Factor 5 out of 5.
5(5s2)+5(-6s)+5(1)5s-1
Factor 5 out of 5(5s2)+5(-6s).
5(5s2-6s)+5(1)5s-1
Factor 5 out of 5(5s2-6s)+5(1).
5(5s2-6s+1)5s-1
5(5s2-6s+1)5s-1
Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅1=5 and whose sum is b=-6.
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Factor -6 out of -6s.
5(5s2-6(s)+1)5s-1
Rewrite -6 as -1 plus -5
5(5s2+(-1-5)s+1)5s-1
Apply the distributive property.
5(5s2-1s-5s+1)5s-1
5(5s2-1s-5s+1)5s-1
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
5((5s2-1s)-5s+1)5s-1
Factor out the greatest common factor (GCF) from each group.
5(s(5s-1)-(5s-1))5s-1
5(s(5s-1)-(5s-1))5s-1
Factor the polynomial by factoring out the greatest common factor, 5s-1.
5((5s-1)(s-1))5s-1
5(5s-1)(s-1)5s-1
5(5s-1)(s-1)5s-1
Simplify terms.
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Cancel the common factor of 5s-1.
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Cancel the common factor.
5(5s-1)(s-1)5s-1
Divide 5(s-1) by 1.
5(s-1)
5(s-1)
Apply the distributive property.
5s+5⋅-1
Multiply 5 by -1.
5s-5
5s-5
Simplify (25s^2-30s+5)÷(5s-1)

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