+0

# factoring

+2
311
1
+80

show steps of how to sovle for two terms

x^3+9769

Nov 28, 2017

#1
+2337
+1

In this case, we are utilizing the rule of a sum of cubes. The rule is the following:

$$a^3+b^3=(a+b)(a^2-ab+b^2)$$

To remember the signs, you can remember this acronym. "soap." The acronym dictates the signage sequentially.

Same sign

Opposite sign

Always

Positive

$$a=x\\ b=\sqrt[3]{9769}$$

9769 is not a perfect cube, so this is the best we can do.

$$(x+\sqrt[3]{9769})(x^2-x\sqrt[3]{9769}+\sqrt[3]{9769}^2)$$

.
Nov 28, 2017

#1
+2337
+1

In this case, we are utilizing the rule of a sum of cubes. The rule is the following:

$$a^3+b^3=(a+b)(a^2-ab+b^2)$$

To remember the signs, you can remember this acronym. "soap." The acronym dictates the signage sequentially.

Same sign

Opposite sign

Always

Positive

$$a=x\\ b=\sqrt[3]{9769}$$

9769 is not a perfect cube, so this is the best we can do.

$$(x+\sqrt[3]{9769})(x^2-x\sqrt[3]{9769}+\sqrt[3]{9769}^2)$$

TheXSquaredFactor Nov 28, 2017