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Which product will result in a sum or difference of cubes? (x + 7)(x2 – 7x + 14) (x + 8)(x2 + 8x + 64) (x – 9)(x2 + 9x + 81) (x – 10)(x2 – 10x + 100)

Kristi Hammond

in Mathematics

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Amanda Johnson on September 23, 2018

The formulas of sum and difference of cubes.a3 + b3 = (a + b) (a2 - ab + b2)a3 - b3 = (a - b) (a2 + ab + b2)in the First place, we have to compare the sign of the operation. Then, we raise a and b to its 2nd power.Among the options, only (x - 9)(x2 + 9x + 81) follows the correct format of the signs of operation.x (x2 + 9x + 81) - 9(x2 + 9x +81)x3 + 9x2 + 81x - 9x2 -81x - 729x3 + 9x2 - 9x2 + 81x - 81x - 729x3 - 729 DIFFERENCE OF CUBES


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