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Mathematics
Missie
17 July, 01:21
Factor completely.
15x^2y^2-3x^3y+75x^4
+5
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Meadow Salinas
17 July, 02:37
0
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)
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