Factor completely.

15x^2y^2-3x^3y+75x^4

15x2y2+3x3y+75x4 Final result : 3x2 • (25x2 + xy + 5y2)

Step by step solution : Step 1 : Equation at the end of step 1 : (((15• (x2)) • (y2)) + ((3• (x3)) •y)) + (3•52x4) Step 2 : Equation at the end of step 2 : (((15• (x2)) • (y2)) + (3x3•y)) + (3•52x4) Step 3 : Equation at the end of step 3 : (((3•5x2) • y2) + 3x3y) + (3•52x4) Step 4 : Step 5 : Pulling out like terms:

5.1 Pull out like factors:

75x4 + 3x3y + 15x2y2 = 3x2 • (25x2 + xy + 5y2)

Trying to factor a multi variable polynomial:

5.2 Factoring 25x2 + xy + 5y2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result : 3x2 • (25x2 + xy + 5y2)