-x • (x3y4 - 6y3 + 30)
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10
StepsStep 1 : y Simplify —— 10 Equation at the end of step 1 : y (y3) y (-3x-((((3•—)•(x3))•————)•x))+(((6•——)•x)•y2) 5 6 10 Step 2 :Multiplying exponential expressions : 2.1 y1 multiplied by y2 = y(1 + 2) = y3Equation at the end of step 2 : y (y3) 3xy3 (-3x-((((3•—)•(x3))•————)•x))+———— 5 6 5 Step 3 : y3 Simplify —— 6 Equation at the end of step 3 : y y3 3xy3 (-3x-((((3•—)•(x3))•——)•x))+———— 5 6 5 Step 4 : y Simplify — 5 Equation at the end of step 4 : y y3 3xy3 (-3x-((((3•—)•x3)•——)•x))+———— 5 6 5 Step 5 :Equation at the end of step 5 : 3x3y y3 3xy3 (-3x - ((———— • ——) • x)) + ———— 5 6 5 Step 6 :Rewriting the whole as an Equivalent Fraction : 6.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 10 as the denominator : -3x -3x • 10 -3x = ——— = ———————— 1 10 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 denominatorAdding fractions that have a common denominator : 6.2 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: -3x • 10 - (x4y4) -x4y4 - 30x ————————————————— = ——————————— 10 10 Equation at the end of step 6 : (-x4y4 - 30x) 3xy3 ————————————— + ———— 10 5 Step 7 :Step 8 :Pulling out like terms : 8.1 Pull out like factors :
-x4y4 - 30x = -x • (x3y4 + 30)