Question

simplify: ( x+4)^3 ‒ ( x-3)^3​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

formulas used

a³- b³ = (a - b)(a² + ab + b²)

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

(x + a)(x - b) = x² + (a - b)x - ab

using above formula

(x + 4)³ - (x - 3)³

= ( (x + 4) - (x - 3) )((x + 4)² + (x+ 4)(x - 3) + (x - 3)²)

= (x + 4 - x + 3)((x² + 8x + 16) +(x² + x - 12) + (x² - 6x + 9))

= 7(3x² + (8 + 1 - 6)x + (16 - 12 + 9))

= 7(3x² + 3x + 13)