What Is The Math Formula For Mulas, Reducing Fractions To Their Lowest Terms

a2 - b2 = ( a - b ) × ( a + b ) a4 - b4 = ( a - b ) × ( a + b ) × ( a2 + b2 ) a6 - b6 = ( a - b ) × ( a + b ) × ( a2 - ab + b2 ) × ( a2 + ab + b2 ) a8 - b8 = ( a - b ) × ( a + b ) × ( a2 + b2 ) × ( a4 + b4 ) a3 + b3 = ( a + b ) × ( a2 - ab + b2 ) a3 - b3 = ( a - b ) × ( a2 + ab + b2 ) a5 - b5 = ( a - b ) × ( a4 + a3b + a2b2 + ab3 + b4 ) a5 + b5 = ( a + b ) × ( a4 - a3b + a2b2 - ab3 + b4 ) a6 - b6 = ( a - b ) × ( a5 + a4b + a3b2 + a2b3 + ab4 + b5 ) a6 + b6 = ( a2 + b2 ) × ( a4 - a2b2 + b4 ) a7 - b7 = ( a - b ) × ( a6 + a5b + a4b2 + a3b3 + a2b4 + ab5 + b6 ) a4 + a2b2 + b4 = ( a2 + ab + b2 ) × ( a2 - ab + b2 ) a4 + 4b4 = ( a2 + 2ab + 2b2 ) × ( a2 - 2ab + 2b2 )

Factoring formulas trick

Trick to factor an - bn when n is an odd number.

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You cannot use this trick if n is even or to lớn factor an + bn First start by writing ( a - b ) × ( .................................................. )Then, fill in the parenthesis on the right.To vì chưng this, follow this guideline. Subtract 1 from n.

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For example, if n = 7 as in a7 - b7, subtract 1 from 7 to lớn get 6. The first term is always going to lớn be the first variable that is a raised to lớn the power nguồn of 6.The last term is always going lớn be the second variable that is b raised to lớn the power nguồn of 6.The operation inside is always a plus.So it is going khổng lồ look lượt thích ( a - b ) × (a6 + .................................................. + b6)Now here is the real tricky part!To get the next term, is a5b. This is done by subtracting 1 from 6 and incorporating the other variable.Now all you have to bởi is to lớn keep subtracting 1 lớn the exponent of a and adding 1 khổng lồ the exponent of b as shown below.The next term will be a4b2.Do this until the variable a disappears and you will kết thúc up with the answer already shown above.Have a question about these factoring formulas? tương tác me