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D

Factor x^{3} - 729

15 viewed last edited 9 months ago
seeing structure in expressions common core CCSS.HSA.SSE.A.1.Q.A1.FE.4 CCSS.HSA.SSE.A.1.Q.A2.FE.3 high-school ninth grade Algebra
Anonymous
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Anonymous
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STEP 1: Recall what an expression is

http://home.avvanta.com/~math/def2.cgi?t=expression

STEP 2: Recall the formula for the difference of cubes.

https://www.purplemath.com/modules/specfact2.htm

STEP 3: Simplify the expression

The expression x^{3}+ 729 can be written as

x^{3} + 9^{3}


Since a^{3}+b^{3} = (a+b)(a^{2}-ab + b^{2})


Substituting a = x and b = 9 into the formula yields:


x^{3} + 729 = (x+9)(x^{2} - 9x + 81)