Question

Subtract x2 - x – 11 from the sum of 3x2 - 8x + 11, -2x2 + 12x and −4x2

+ 7.

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Answer 1

${\underline {\underline {\huge {\rm { Required \: Answer: } }}}}$

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Finding the sum of 3x² - 8x + 11, -2x² + 12x ans -4x² + 7.

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$\sf { ⇢ 3 {x}^{2} - 8x + 11+( -2 {x}^{2} +12x) +( -4 {x}^{2} + 7) }$

(Putting the '+' at the place of comma.)

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$\sf { ⇢ 3 {x}^{2} - 8x + 11 -2 {x}^{2} +12x -4 {x}^{2} + 7 }$

(Removing bracket)

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$\sf { ⇢ 3 {x}^{2} -2 {x}^{2}-4 {x}^{2} - 8x+12x + 11 + 7 }$

(Collecting all the like terms.)

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$\sf { ⇢ {x}^{2}-4 {x}^{2} -4x + 18 }$

⠀⠀⠀

$\boxed { \sf \pink{ ⇢ -3 {x}^{2} -4x + 18 } }$

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Now, subtracting x² - x - 11 from the sum of 3x² - 8x + 11, -2x² + 12x and -4x².

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$\sf { ⇢ -3 {x}^{2} -4x + 18 - ( {x}^{2} -x-11) }$

⠀⠀⠀

$\sf { ⇢ -3 {x}^{2} -4x + 18 -{x}^{2} +x+11 }$

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$\sf { ⇢ -3 {x}^{2} -{x}^{2} - 4x +x + 18 +11 }$

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$\boxed { \sf \red { ⇢ -4{x}^{2} - 3x + 29 }}$

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Answer :–

• $\boxed { \sf \pink { -4{x}^{2} - 3x + 29 }}$

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