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Answer:
( x + 9 ) ( x + 10 )
Step-by-step explanation:
x² + 19x + 90
= x² + 9x + 10x + 90
= x ( x + 9 ) + 10 ( x + 9 )
= ( x + 9 ) ( x + 10 )
Hence factorised.
The factorized expression is: [tex](x + 10)(x + 9)[/tex]
The quadratic expression is given as:
[tex]x^2 + 19x + 90[/tex]
Express 19x as 9x + 10x
[tex]x^2 + 9x + 10x + 90[/tex]
Factorize the expression
[tex]x(x + 9) + 10(x + 9)[/tex]
Factor out x + 9
[tex](x + 10)(x + 9)[/tex]
Hence, the factorized expression is: [tex](x + 10)(x + 9)[/tex]
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