Question

factorise 9xXx+30x+25

Answer 1

= > 9x × x + 30x + 25


= > 9x² + 30x + 25



Splitting middle term that is 30 x


= > 9x² + ( 15 + 15 )x + 25
$\:$

= > 9x² + 15x + 15x + 25


= > 3x( 3x + 5 ) + 5( 3x + 5 )


= > ( 3x + 5 ) ( 3x + 5 )

Answer 2

=> 9x² + 30x + 25

______________

using algebraic identify :-

=> a² + 2ab + b² = (a+b)²
__________________

=> 9x² + 30x + 25

=> (3x+5)²

=> (3x+5).(3x+5)
_____________[ANSWER]

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2nd method

=> 9x² + 30x + 25

=> 9x² + 15x + 15x + 25

=> 3x(3x+5)+5(3x+5)

=> (3x+5)(3x+5)
__________[ANSWER]