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Use polynomial identities to factor 64 + 27a3.

Sagot :

I’m gonna assume the 3 next to a is an exponent since you can’t factor it if it’s not an exponent.
Note: use ^ before a number to tell the number after ^ will be an exponent. For example: 64+27a^3
Anyway let’s solve.
64+27a^3
Write in exponential form:
4^3+3^3 x3
Multiply the terms with equal exponents:
4^3+(3x)^3
Factor the expression using a^3+b^3=(a+b)(a^2-ab+b^2):
(4+3x)(4^2-4x•3x+(3x)^2)
Evaluate, calculate, and rewrite:
(4+3x)(16-12x+9x^2)