step 1 : 6 Simplify —— x2 Equation at the end of step 1 : 10 6 (((((x2)+3x)-————)-2x)-15)——)+6x)+9) (x2)(((((x^2)x2 Step 2 :Rewriting the whole as an Equivalent Fraction : 2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using x2 as the denominator : x2 + x (x2 + x) • x2 x2 + x = —————— = ————————————— 1 x2 Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominatorStep 3 :Pulling out like terms : 3.1 Pull out like factors :
x2 + x = x • (x + 1)
Adding fractions that have a common denominator : 3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: x • (x+1) • x2 - (6) x4 + x3 - 6 ———————————————————— = ——————————— x2 x2 Equation at the end of step 3 : 10 (x4+x3-6) (((((x2)+3x)-————)-2x)-15)—————————+6x)+9) (x2)(( x2 Step 4 :Rewriting the whole as an Equivalent Fraction : 4.1 Adding a whole to a fraction
Rewrite the whole as a fraction using x2 as the denominator : 6x 6x • x2 6x = —— = ——————— 1 x2