Factor 16x 4 81

Factor 16x 4 81 AI explanations are generated using OpenAI technology AI generated content may present inaccurate or offensive content that does not represent Symbolab s view Learning math takes

The completely factored form of expression 16x 81 is 4x 9 4x 9 To factor the expression 16x 81 completely let s first factor each term 16x can be written as 4x since 4x 16x 81 can be written as 9 since 9 81 Now we can rewrite the expression 16x 81 Rewrite 16x 4 81 as left 4x 2 right 2 9 2 The difference of squares can be factored using the rule a 2 b 2 left a b right left a b right

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Factor 16x 4 81
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Rewrite 16x4 as 4x2 2 Rewrite 81 as 92 Since both terms are perfect squares factor using the difference of squares formula a2 b2 a b a b where a 4x2 and b 9 Simplify Tap for more steps If any individual factor on the left side of the equation is equal to 0 the entire expression will be equal to 0 16x4 81 4x2 2 32 4x2 9 4x2 9 4x2 9 2x 3 2x 3 Ans

To factorise a given expression first factor out the common term if any Now rewrite each term of the expression as a perfect square form Now use the identity difference of squares to factorise the given expression Detailed step by step solution for factor 16x 4 81

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Rewrite 81y4 81 y 4 as 9y2 2 9 y 2 2 4x2 2 9y2 2 4 x 2 2 9 y 2 2 Since both terms are perfect squares factor using the difference of squares formula a2 b2 a b a b a 2 b 2 a b a b where a 4x2 a 4 x 2 and b 9y2 b 9 y 2 4x2 9y2 4x2 9y2 4 x 2 9 y 2 4 x 2 9 y 2 Simplify Tap for more steps What is factor 16x 4 81 The solution to factor 16x 4 81 is 4x 2 9 2x 3 2x 3

Trying to factor as a Difference of Squares 2 1 Factoring 16x4 81 Theory A difference of two perfect squares A2 B2 can be factored into A B A B Proof A B A B A2 AB BA B2 A2 AB AB B2 A2 B2 Note AB BA is the commutative property of multiplication There is no common factor for 16x 4 and 81 other than 1 Now we look at what we have We have two terms The first term 16x 4 is the square of 4x 2 The second term 81 is the square of 9 We have a difference of two squares A difference of two squares factors like this a 2 b 2 a b a b We apply that factoring to 16x 4 81

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Factor 16x 4 81 Symbolab

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FREE Factor 16x 4 81 Completely 1 First Factor Each Term 16x

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The completely factored form of expression 16x 81 is 4x 9 4x 9 To factor the expression 16x 81 completely let s first factor each term 16x can be written as 4x since 4x 16x 81 can be written as 9 since 9 81 Now we can rewrite the expression 16x 81

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