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Solution - Simplification or other simple results
8*(5y^2-15y-63)
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
((23•5y2) - 120y) - 504
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
40y2 - 120y - 504 = 8 • (5y2 - 15y - 63)
Trying to factor by splitting the middle term
3.2 Factoring 5y2 - 15y - 63
The first term is, 5y2 its coefficient is 5 .
The middle term is, -15y its coefficient is -15 .
The last term, "the constant", is -63
Step-1 : Multiply the coefficient of the first term by the constant 5 • -63 = -315
Step-2 : Find two factors of -315 whose sum equals the coefficient of the middle term, which is -15 .
| -315 | + | 1 | = | -314 | ||
| -105 | + | 3 | = | -102 | ||
| -63 | + | 5 | = | -58 | ||
| -45 | + | 7 | = | -38 | ||
| -35 | + | 9 | = | -26 | ||
| -21 | + | 15 | = | -6 | ||
| -15 | + | 21 | = | 6 | ||
| -9 | + | 35 | = | 26 | ||
| -7 | + | 45 | = | 38 | ||
| -5 | + | 63 | = | 58 | ||
| -3 | + | 105 | = | 102 | ||
| -1 | + | 315 | = | 314 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
8 • (5y2 - 15y - 63)
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