Factorise 8(x+y)^3-27(x-y)^3
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(8 • ((x + y)3)) - 27 • (x - y)3
Step 2 :
Equation at the end of step 2 :
8 • (x + y)3 - 27 • (x - y)3
Step 3 :
3.1 Evaluate : (x+y)3 = x3+3x2y+3xy2+y3 3.2 Evaluate : (x-y)3 = x3-3x2y+3xy2-y3
Checking for a perfect cube :
3.3 -19x3+105x2y-57xy2+35y3 is not a perfect cube
Final result :
-19x3 + 105x2y - 57xy2 + 35y