Simplify (10m^2-m-9)÷(2m-3)

Math
(10m2-m-9)÷(2m-3)
Rewrite the division as a fraction.
10m2-m-92m-3
Factor by grouping.
Tap for more steps…
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=10⋅-9=-90 and whose sum is b=-1.
Tap for more steps…
Factor -1 out of -m.
10m2-(m)-92m-3
Rewrite -1 as 9 plus -10
10m2+(9-10)m-92m-3
Apply the distributive property.
10m2+9m-10m-92m-3
10m2+9m-10m-92m-3
Factor out the greatest common factor from each group.
Tap for more steps…
Group the first two terms and the last two terms.
(10m2+9m)-10m-92m-3
Factor out the greatest common factor (GCF) from each group.
m(10m+9)-(10m+9)2m-3
m(10m+9)-(10m+9)2m-3
Factor the polynomial by factoring out the greatest common factor, 10m+9.
(10m+9)(m-1)2m-3
(10m+9)(m-1)2m-3
Simplify (10m^2-m-9)÷(2m-3)

Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top