Question

Subtract the second polynomial from the first.

i) x² - 9x + √3 ; -19x + √3 + 7x²

ii) 2ab² + 3a²b - 4ab ; 3ab - 8ab² + 2a²b
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Answer 1

QUESTION :- Subtract the second polynomial from the first.

(i) $\sf\bold{{x}^{2} - 9x + \sqrt{3} \: ; -19x + \sqrt{3} + {7x}^{2}}$

⇒ ${x}^{2} - 9x + \sqrt{3} - ( - 19x + \sqrt{3} + {7x}^{2})$

$= {x}^{2} - 9x + \sqrt{3} + 19x - \sqrt{3} - {7x}^{2}$

$= {x}^{2} - {7x}^{2} - 9x + 19x + \sqrt{3} - \sqrt{3}$

$\fbox \orange{ { - 6x}^{2} + 10x }$

(ii) $\sf \bold{2a {b}^{2} + 3 {a}^{2} b - 4ab \: ; 3ab - 8a {b}^{2} + 2 {a}^{2} b}$

⇒ $( {2ab}^{2} + 3 {a}^{2}b - 4ab) - (3ab - 8a {b}^{2} + 2 {a}^{2}b)$

$= 2a {b}^{2} + 3 {a}^{2}b - 4ab - 3ab + 8a {b}^{2} - 2 {a}^{2}b$

$= 2a {b}^{2} + 8a {b}^{2} + 3 {a}^{2}b - 2 {a}^{2}b - 4ab - 3ab$

$\fbox \orange{= 10a {b}^{2} + {a}^{2}b - 7}$

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