Subtract the polynomials 10w2 3w 7 7w2 6w 3 10w2 3w 77

Subtract the polynomials. (-10w^2 + 3w + 7) - (7w^2 + 6w - 3) (-10w^2 +3w + 7)-(7w^2 + 6w-3) = (Simplify your answer.)

Solution

We have ;

(- 10W² + 3W + 7 ) - ( 7W² + 6W - 3 )

opening the brackets we get ,

= - 10W² + 3W + 7 - 7W² - 6W + 3

=  - 10W² - 7W² + 3W - 6W + 7 + 3

Now as coefficients of the same degree can only be subtracted from each other

= - 17W² - 3W + 10

So, - 10W² + 3W + 7 ) - ( 7W² + 6W - 3 ) = - 17W² - 3W + 10