Verified answer

10x^6+8x^4/2x^2

2x^2(5x^4+4x^2)/2x^2

=5x^4+4x^2

factorize the numerator by bringing out 2x^2, then cancel it with the denominator(2x^2) to get the final answer.

Take out the highest common factor in the denominator:

[2x^4(5x^2 + 4)] / 2x^2

Simplify the 2x^4 and 2x^2:

x^2(5x^2 + 4)

OR

5x^4 + 4x^2

—————

NOTE: Remember to only simplify whole brackets or factored out terms, do not simplify through an addition or subtraction sign.

Split it up into 2 fractions

10x^6/2x^2 + 8x^4/2x^2

when you divide two variables with exponents attached to them, subtract the exponents.

also divide the integers

=5x^(6-2) + 4x^(4-2)=

5x^4 + 4x^2

hope this helped

also know that when multiplying 2 numbers with exponents attached to them, you should add the exponents together.

It is a basic problem division on the numbers are normal, & division of the X exponential is done by subtracting [ multiplying is done by adding].

10x^6 + 8x^4 5x^6 + 4x^4

------------------- divide by 2 (top& bottom) = ----------------- divide(subtract) by x^2

2x^2 x^2

= 5x^4 + 4x^2

2x^2(5 x^4+2x^2)

-----------------------

2x^2

= 5 x^4+2x^2 = x^2 ( 5x^2+2)