3 x 125 216 Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor
Answer link 125x 3 5x and 216 6 3 We can use the sum of cubes to factor 125x 3 216 a 3 b 3 a b a 2 ab b 2 a 5x b 6 5x 6 5x 2 5x 6 6 2 5x 6 25x 2 30x 36 Get step by step answers and hints for your math homework problems Learn the basics check your work gain insight on different ways to solve problems For chemistry calculus algebra trigonometry equation solving basic math and more
3 x 125 216
3 x 125 216
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Solve your math problems using our free math solver with step by step solutions Our math solver supports basic math pre algebra algebra trigonometry calculus and more Rewrite 216x 3 125 as left 6x right 3 5 3 The sum of cubes can be factored using the rule a 3 b 3 left a b right left a 2 ab b 2 right Polynomial 36x 2 30x 25 is not factored since it does not have any rational roots
Rewrite 125x 3 216y 3 as left 5x right 3 left 6y right 3 The difference of cubes can be factored using the rule a 3 b 3 left a b right left a 2 ab b 2 right Step by Step Solution Step 1 Equation at the end of step 1 53x3 216 Step 2 Trying to factor as a Difference of Cubes 2 1 Factoring 125x3 216 Theory A difference of two perfect cubes a3 b3 can be factored into a b a2 ab b2 Proof a b a2 ab b2 a3 a2b ab2 ba2 b2a b3 a3 a2b ba2 ab2 b2a b3 a3 0 0 b3 a3 b3
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Algebra Solve by Factoring 125x 3 216 0 125x3 216 0 Rewrite 125x3 as 5x 3 5x 3 216 0 Rewrite 216 as 63 5x 3 63 0 Since both terms are perfect cubes factor using the sum of cubes formula a3 b3 a b a2 ab b2 where a 5x and b 6 5x 6 5x 2 5x 6 62 0 We have 125 6 5 3 216 125 cdot 216 125 216 0 so by the factor theorem one root is 5x 6 Given this first factor we do the polynomial division and obtain 125x 3 216 5x 6 25x 2 30x 36
Step by step solution Step 1 Equation at the end of step 1 53x3 216 0 Step 2 Trying to factor as a Sum of Cubes 2 1 Factoring 125x3 216 Theory A sum of two perfect cubes a3 b3 can be factored into a b a2 ab b2 Proof a b a2 ab b2 a3 a2b ab2 ba2 b2a b3 a3 a2b ba2 ab2 b2a b3 a3 0 0 b3 a3 b3 Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor
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Square Root Of 216 How To Find The Square Root Of 216
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3 x 125 216 - Solve your math problems using our free math solver with step by step solutions Our math solver supports basic math pre algebra algebra trigonometry calculus and more