If the problem is
(17 ^ 3) * (79 ^ 7)
The steps are:
Step 1:
(17 ^ 3) = 4913
Step 2:
(79 ^ 7) = 1.92039E + 13
Step 3:
(4913) * (1.92039E + 13) = 9.43488E + 16
If the problem is
(173) * (797)
Step 1:
Multiply both terms with a calculator:
(173) * (797) = 137881
Answer: B
Step-by-step explanation:
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
