Factarise 22x² +9x²+10x+3
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Answer:
I think your question will be - Factarise 2x^3 + 9x^2 + 10x + 3 .
The answer is ( x + 3 ) ( x + 1 ) ( 2x + 1 )
Explanation:
2x^3 + 9x^2 + 10x + 3
= 2x^3 + 6x^2 + 3x^2 + 9x + x + 3
= 2x^2 ( x + 3 ) + 3x ( x + 3 ) + 1 ( x + 3 )
= ( x + 3 ) ( 2x^2 + 3x + 1 )
= ( x + 3 ) ( 2x^2 + 2x + x + 1 )
= ( x + 3 ) [ 2x ( x + 1 ) + 1 ( x + 1 ) ]
= ( x + 3 ) ( x + 1 ) ( 2x + 1 )
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