Answer:
x2/2x2-5xy+2y2*2x2y-xy2/(2xy2)2
Final result :
2x5y2 + 16x3y5 - 20x2y3 - 1
———————————————————————————
4xy2
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(x2) (y2)
(((————•(x2))-5xy)+((((2•(y2))•2)•(x2))•y))-(x•—————————)
2 ((2xy2)2)
Step 2 :
y2
Simplify ——————
22x2y4
Dividing exponential expressions :
2.1 y2 divided by y4 = y(2 - 4) = y(-2) = 1/y2
Equation at the end of step 2 :
(x2) 1
(((————•(x2))-5xy)+((((2•(y2))•2)•(x2))•y))-(x•—————)
2 4x2y2
Step 3 :
Equation at the end of step 3 :
(x2) 1
(((————•(x2))-5xy)+(((2y2•2)•x2)•y))-————
2 4xy2
Step 4 :
Multiplying exponents :
4.1 21 multiplied by 21 = 2(1 + 1) = 22
Equation at the end of step 4 :
(x2) 1
(((————•(x2))-5xy)+((22y2•x2)•y))-————
2 4xy2
Step 5 :
x2
Simplify ——
2
Equation at the end of step 5 :
x2 1
(((—— • x2) - 5xy) + 22x2y3) - ————
2 4xy2
Step 6 :
Multiplying exponential expressions :
6.1 x2 multiplied by x2 = x(2 + 2) = x4
Equation at the end of step 6 :
x4 1
((—— - 5xy) + 22x2y3) - ————
2 4xy2
Step 7 :
Rewriting the whole as an Equivalent Fraction :
7.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
5xy 5xy • 2
5xy = ——— = ———————
1 2
