Factor 4m^2-16my+15y^2

Math
4m2-16my+15y2
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=4⋅15=60 and whose sum is b=-16.
Tap for more steps…
Reorder terms.
4m2+15y2-16my
Reorder 15y2 and -16my.
4m2-16my+15y2
Factor -16 out of -16my.
4m2-16(my)+15y2
Rewrite -16 as -6 plus -10
4m2+(-6-10)(my)+15y2
Apply the distributive property.
4m2-6(my)-10(my)+15y2
Remove unnecessary parentheses.
4m2-6my-10(my)+15y2
Remove unnecessary parentheses.
4m2-6my-10my+15y2
4m2-6my-10my+15y2
Factor out the greatest common factor from each group.
Tap for more steps…
Group the first two terms and the last two terms.
(4m2-6my)-10my+15y2
Factor out the greatest common factor (GCF) from each group.
2m(2m-3y)-5y(2m-3y)
2m(2m-3y)-5y(2m-3y)
Factor the polynomial by factoring out the greatest common factor, 2m-3y.
(2m-3y)(2m-5y)
Factor 4m^2-16my+15y^2

Solving MATH problems

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

Scroll to top