Combine (2y^4)/5-(9y^2)/10

Math
2y45-9y210
To write 2y45 as a fraction with a common denominator, multiply by 22.
2y45⋅22-9y210
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Tap for more steps…
Multiply 2y45 and 22.
2y4⋅25⋅2-9y210
Multiply 5 by 2.
2y4⋅210-9y210
2y4⋅210-9y210
Combine the numerators over the common denominator.
2y4⋅2-9y210
Simplify the numerator.
Tap for more steps…
Factor y2 out of 2y4⋅2-9y2.
Tap for more steps…
Factor y2 out of 2y4⋅2.
y2(2y2⋅2)-9y210
Factor y2 out of -9y2.
y2(2y2⋅2)+y2⋅-910
Factor y2 out of y2(2y2⋅2)+y2⋅-9.
y2(2y2⋅2-9)10
y2(2y2⋅2-9)10
Multiply 2 by 2.
y2(4y2-9)10
Rewrite 4y2 as (2y)2.
y2((2y)2-9)10
Rewrite 9 as 32.
y2((2y)2-32)10
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=2y and b=3.
y2(2y+3)(2y-3)10
y2(2y+3)(2y-3)10
Combine (2y^4)/5-(9y^2)/10

Solving MATH problems

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

Scroll to top