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Earn +20 ptsQ: Sum of two cubes
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What is interesting about Hardy-Ramanujan number?
1729 is the smallest number that can be expressed in two ways as the sum of two cubes.[12cube+9cube] * * * * * ... two positive cubes. 12 cube + 1 cube and 10 cube + 9 cube.
Sum and difference of two cubes?
a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2
What is the pattern of sum of cubes?
(a3 + b3) = (a + b)(a2 - ab + b2)
Factor a cubed plus B-Cubed?
The expression a^3 + b^3 can be factored using the sum of cubes formula, which states that a^3 + b^3 = (a + b)(a^2 - ab + b^2). Therefore, a^3 + b^3 can be factored as (a + b)(a^2 - ab + b^2). This formula helps us break down the sum of two cubes into a product of binomials, simplifying the expression.
How would the sum of cubes formula be used to factor x3y3 343?
(xy + 7)(x^2y^2 - 7xy + 49)
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