Subtracting 3x2 + 4x – 5 from 7x2 + x + 9 results in a polynomial. After subtracting 4x2 – 3x from this polynomial, the difference is .

Answer & Step-by-step explanation:

First, we have to subtract 3x² + 4x - 5 from 7x² + x + 9. Then we subtract 4x² - 3x from that difference.

(7x² + x + 9) - (3x² + 4x - 5)

Distribute the negative sign (-) to 3x² + 4x - 5

7x² + x + 9 - 3x² - 4x + 5

Combine like terms

4x² - 3x + 14

Now, we are going to subtract 4x² - 3x from this difference.

(4x² - 3x + 14) - (4x² - 3x)

Distribute the negative sign (-) to 4x² - 3x

4x² - 3x + 14 - 4x² + 3x

Combine like terms

14

So, after subtracting the first two polynomials and then subtracting 4x² - 3x from that difference, the final answer will be 14

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2