The factored form of 125a^6-64 is,
(5a^2-4)(25a^4-20a^2+16)
Rewrite 125a 125 a 6 as (5a2)3 ( 5 a 2 ) 3 .
Rewrite 64 as 43 .
Since both terms are perfect cubes, factor using the difference of cubes formula,
a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) where
∴ a=5a2 a = 5 a 2 and b=4 .
=(5a^2-4)(25a^4-20a^2+16)
What is the formula of factorization?
The general factorization formula is expressed as N = Xa × Yb × Zc. Here, X, Y, Z represent the factors of a factorized number.
What is factorization and examples?
Factorization is the process of reducing the bracket of a quadractic equation, instead of expanding the bracket and converting the equation to a product of factors which cannot be reduced further. For example, factorising (x²+5x+6) to (x+2) (x+3). Here, (x+2) (x+3) is factorization of a polynomial (x²+5x+6).
To learn more about factorization , refer
https://brainly.com/question/11909547
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