Doing percentages is easy with Soulver. It's great for working out sales tax and discounts. Just type naturally, for example $330 + 10%, $99.95 - 20%. Files & Syncing. Soulver can sync your calculations with iCloud or Dropbox, and email out beautifully formatted emails of your work from inside Soulver. 9x 2 + 6x = 3x. (3x + 2) Adding fractions that have a common denominator: 4.2 Adding up the two equivalent fractions Add the two equivalent fractions which now have a common denominator Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible.
3.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 3 as the denominator : Grease free online.
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Day one alternative. 4.1 Pull out like factors :
9x2 + 6x = 3x • (3x + 2)
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
6.1 Pull out like factors :
27x2 + 19x = x • (27x + 19)
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6.2 Adding up the two equivalent fractions
6.3 Factoring 27x2 + 19x - 3
The first term is, 27x2 its coefficient is 27.
The middle term is, +19x its coefficient is 19.
The last term, 'the constant', is -3
Step-1 : Multiply the coefficient of the first term by the constant 27 • -3 = -81
Step-2 : Find two factors of -81 whose sum equals the coefficient of the middle term, which is 19.
-81 | + | 1 | = | -80 |
-27 | + | 3 | = | -24 |
-9 | + | 9 | = | 0 |
-3 | + | 27 | = | 24 |
-1 | + | 81 | = | 80 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored