Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Simplify the expression. Use the variables, numbers, and symbols that are shown. Drag them to the appropriate box in the polynomial. Use standard polynomial format. x(2x - 3) + (x - 3)(x - 4)​

Answer 1

We have to find the product of ,

(a+3)(a-2)

We will use the identity

(x+a)(x+b)=x² + (a+b)x+ab

So, (a+3)(a-2)=a²+(3-2)a+ (3)×(-2)

= a²+1 × a -6

= a²+a-6

Or , you can use the following method, to find the product.

a×(a-2)+3×(a-2)

=a² -2 a + 3 a-3×2

=a²+a-6