Question

3) Factorise 49x² - 36​

Answer 1

(7x-6)(7x+6) this is the answer

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Answer 2

$\large\textsf{\underline\textcolor{aqua}{↭ \; \; AnSwEr :- }}$

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$\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{orange}{( 7x + 6 ) ( 7x - 6 )}}$

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$\large\textsf{\underline\textcolor{aqua}{↭ \; \; ExPlAnAtIoN :- }}$

$\large\textsf{ }$

• The equation 49x² - 36 = 0 can be written in the form of ( 7x )² - 6² = 0 . Now we can see that this equation is in the form of a² - b² = ( a + b )( a - b )

$\large\textsf{ }$

$\LARGE\mathfrak{\underline\textcolor{aqua}{✯\; Formula :-}}$

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$\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{purple}{ a² - b² = ( a + b )( a - b )}}$

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$\LARGE\mathfrak{\underline\textcolor{aqua}{✯\; Solution :-}}$

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$\qquad\tt{:}\longrightarrow\large\textsf{49x² - 36 = ( 7x )² - 6² }$

$\qquad\tt{}\therefore\; \; \; \boxed{\large\textsf\textcolor{red}{( 7x² ) - 6² = ( 7x + 6 )( 7x - 6 )}}$

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$\LARGE\mathfrak{\underline\textcolor{aqua}{✯\; More \; \; Formulas :-}}$

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$\qquad\tt{:}\longrightarrow\large\textsf{( a + b )² = a² + b² + 2ab}$

$\qquad\tt{:}\longrightarrow\large\textsf{( a - b )² = a² + b² - 2ab}$

$\qquad\tt{:}\longrightarrow\large\textsf{a² - b² = ( a + b ) ( a - b )}$

$\qquad\tt{:}\longrightarrow\large\textsf{a² + b² = ( a + b )² - 2ab}$

$\qquad\tt{:}\longrightarrow\large\textsf{a³ + b³ = ( a + b ) ( a² - 2ab + b² )}$

$\qquad\tt{:}\longrightarrow\large\textsf{a³ - b³ = ( a - b ) ( a² + ab + b² )}$

$\qquad\tt{:}\longrightarrow\large\textsf{( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ac }$

$\large\textsf{ }$

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