Question

subtract as indicated :(iv)(7-x+x²)-(x²+6-3x) how the answer is coming 1+2x​

Answer 1

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

• $\sf\:(7-x+x^{2})-(x^{2}+6-3x)$

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

• Subtract the given expression .

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

$\sf\:(7-x+x^{2})-(x^{2}+6-3x)$

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⠀First step : Opening the bracket

⠀‎Sign changes accordingly :

• ${\sf{{\pink{-×-=+}}}}$

• ${\sf{{\pink{-×+=-}}}}$

• ${\sf{{\pink{+×+=+}}}}$

┕━━━━━━━━━★━━━━━━━━━┙

$\sf➞\:7-x+x^{2}-x^{2}-6+3x$

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⠀‎⠀⠀⠀‎⠀Second step :

Arranging like and unlike terms .

┕━━━━━━━━━★━━━━━━━━━┙

$\sf➞\:7-6-x+3x+x^{2}-x^{2}$

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⠀‎⠀⠀⠀‎⠀⠀⠀Third step :

⠀‎⠀⠀Calculating further .

┕━━━━━━━━━★━━━━━━━━━┙

$\sf➞\:1+2x+x^{2}-x^{2}$

$\sf➞\:1+2x+\cancel{x^{2}}-\cancel{x^{2}}$

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Same Terms with opposite signs⠀⠀

⠀‎⠀⠀⠀⠀gets cancelled

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${\sf{{\purple{➻\:1+2x}}}}$

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!! Hope it helps !!