Factorise: a⁷ + ab⁶.

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Solution

straight a to the power of 7 plus ab to the power of 6 equals space straight a left parenthesis straight a to the power of 6 plus straight b to the power of 6 right parenthesis equals space straight a left curly bracket left parenthesis straight a squared right parenthesis cubed plus left parenthesis straight b squared right parenthesis cubed right curly bracket equals space straight a left parenthesis straight a squared plus straight b squared right parenthesis space left curly bracket left parenthesis straight a squared right parenthesis squared plus left parenthesis straight b squared right parenthesis squared minus left parenthesis straight a squared right parenthesis left parenthesis straight b squared right parenthesis right curly bracket equals space straight a left parenthesis straight a squared plus straight b squared right parenthesis left parenthesis straight a to the power of 4 plus straight b to the power of 4 minus straight a squared straight b squared right parenthesis equals space straight a left parenthesis straight a squared plus straight b squared right parenthesis left parenthesis straight a to the power of 4 plus straight b to the power of 4 plus 2 straight a squared straight b squared space minus space 2 straight a squared straight b squared space minus straight a squared straight b squared right parenthesis equals straight a left parenthesis straight a squared plus straight b squared right parenthesis space left curly bracket left parenthesis straight a squared plus straight b squared right parenthesis squared minus left parenthesis square root of 3 ab right parenthesis squared right curly bracket equals space straight a left parenthesis straight a squared plus straight b squared right parenthesis left parenthesis straight a squared plus straight b squared minus square root of 3 space ab right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space space space left parenthesis straight a squared plus straight b squared plus square root of 3 space ab right parenthesis

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Coordinate Geometry

Factorise: a⁷ + ab⁶.

Some More Questions From Coordinate Geometry Chapter

Find the value of n, given (81)^5/n = 243.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

4x² - 3x + 7

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NCERT Sample Papers

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Coordinate Geometry

Factorise: a7 + ab6.

Some More Questions From Coordinate Geometry Chapter

Find the value of n, given (81)5/n = 243.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.4x2 - 3x + 7

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Factorise: a⁷ + ab⁶.

Find the value of n, given (81)^5/n = 243.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

4x² - 3x + 7