Question

Factorise:   1 +x + xy + x2y​

Answer 1

Answer:

$\huge \mathsf \color{purple}{Answer}$

$\: \: \: \: \: \:$

$\large \mathrm \color{black}{1+ x + xy + {x}^{2} y}$

$\large \mathrm \color{black}{ = (1 + x) + (xy + {x}^{2}y)[Grouping \: the \: expression] }$

$\large \mathrm \color{black}{ = (1 + x) + xy ( 1 + x)}$

$\large \mathrm \color{black}{ = (1 + xy) (1 + x)}$

Answer 2

$\large\sf\underline{Given}$

• $\sf\:1+x+xy+x^{2}y$

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$\large\sf\underline{To\:}$

• Factorise the given expression .

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$\large\sf\underline{Solution}$

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$\sf\:1+x+xy+x^{2}y$

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• Arranging them :

$\sf➞\:1+x+(xy+x^{2}y)$

$\sf➞\:(1+x)+xy(1+x)$

$\sf➞\:1(1+x)+xy(1+x)$

$\small{\underline{\boxed{\mathrm\purple{➠\:(1+x)(1+xy)}}}}$

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!! Hope it helps !!