3x³-30x²+75x, Factorize the given equation.
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Solution :
3x³ - 30x² + 75x
= 3x( x² - 10x + 25 )
= 3x[ x² - 2 * x * 5 + 5² ]
***************************************
We know the algebraic identity :
a² - 2ab + b² = ( a - b )²
*****************************************
= 3x( x - 5 )²
= 3x( x - 5 )( x - 5 )
••••••
3x³ - 30x² + 75x
= 3x( x² - 10x + 25 )
= 3x[ x² - 2 * x * 5 + 5² ]
***************************************
We know the algebraic identity :
a² - 2ab + b² = ( a - b )²
*****************************************
= 3x( x - 5 )²
= 3x( x - 5 )( x - 5 )
••••••
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