Math Problem Statement

a^3 + b^3 with the conditions: a + b = 10, ab = 1. Find a^3 + b^3.

Solution

The image contains the expression:

a3+b3a^3 + b^3 with the condition to "find" aa and bb, given:

  1. a+b=10a + b = 10
  2. ab=1ab = 1

Let's solve this system and find ( a^3 + b^3 \

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Cubic Expressions

Formulas

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Theorems

Factorization of sum of cubes

Suitable Grade Level

Grades 9-12

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