3x³-30x²+75x, Factorize the given equation.
Answers
Answered by
9
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 )
••••••
Similar questions
Biology,
6 months ago
Hindi,
6 months ago
Computer Science,
6 months ago
Math,
11 months ago
Physics,
11 months ago