Distributive Property is used in the first step of the formula for factoring the sum of cubes a³ + b³
What is the distributive property ?
To distribute anything is to split it or to provide a piece or part of it.
Multiplying the sum of two or more operand by a number produces the same result as multiplying each addend separately by the number and then adding the products together.
According to the distributive property.
a . (b+c) = (a.b + a.c)
the formula for factoring the sum of cubes
a³ + b³ = (a + b)(a² – ab + b²) = a³ – a²b + ab² + a²b – ab² + b³
= a (a² - ab + b²) + b(a² - ab + b²) -------> by distributive property
= a³ - a²b + ab² + a²b - ab² + b³
= a³ - a²b + a²b + ab²- ab² + b³
= a³ - 0 + 0 + b³
= a³ + b³
Therefore , Distributive Property is used in the first step of the formula for factoring the sum of cubes a³ + b³
To know more about Distributive Property
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