Solve Simplificationorothersimpleresults (3x-7)(2x-5) - Tiger Algebra
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Other Ways to Solve
Simplification or other simple resultsStep by Step Solution
Step 1 :
Equation at the end of step 1 :
((3x - 7) • (2x - 5)) - x • (4x - 3)Step 2 :
Equation at the end of step 2 :
(3x - 7) • (2x - 5) - x • (4x - 3)Step 3 :
Trying to factor by splitting the middle term
3.1 Factoring 2x2-26x+35 The first term is, 2x2 its coefficient is 2 .The middle term is, -26x its coefficient is -26 .The last term, "the constant", is +35 Step-1 : Multiply the coefficient of the first term by the constant 2 • 35 = 70 Step-2 : Find two factors of 70 whose sum equals the coefficient of the middle term, which is -26 .
| -70 | + | -1 | = | -71 |
| -35 | + | -2 | = | -37 |
| -14 | + | -5 | = | -19 |
| -10 | + | -7 | = | -17 |
| -7 | + | -10 | = | -17 |
| -5 | + | -14 | = | -19 |
| -2 | + | -35 | = | -37 |
| -1 | + | -70 | = | -71 |
| 1 | + | 70 | = | 71 |
| 2 | + | 35 | = | 37 |
| 5 | + | 14 | = | 19 |
| 7 | + | 10 | = | 17 |
| 10 | + | 7 | = | 17 |
| 14 | + | 5 | = | 19 |
| 35 | + | 2 | = | 37 |
| 70 | + | 1 | = | 71 |
Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored
Final result :
2x2 - 26x + 35How did we do?
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