Question

Que .11 find the product of .

(x+√10)(x-√19)​

Answer 1

Step-by-step explanation:

$using \: identity \: (x + a)(x-b) = {x}^{2} + (a + b)x - ab \\ (x + \sqrt{10} )(x - \sqrt{9} ) = {x}^{2} + ( \sqrt{10} + \sqrt{9} )x - \sqrt{10} \times \sqrt{9} \\ = {x}^{2} + ( \sqrt{10} + \sqrt{9} )x - \sqrt{10} \times 3 \\ = {x}^{2} + ( \sqrt{10} + \sqrt{9} )x - \sqrt{10} \times 3 \\ = {x}^{2} + \sqrt{10} x + \sqrt{9} x - \sqrt{10} \times 3 \\ = {x }^{2} + \sqrt{10} x + 3x - \sqrt{10 } \times 3 \\ = x(x + \sqrt{10} ) + 3(x - \sqrt{10} )$