Just need confirmation. I believe it is correct. THANK YOU SO MUCH.
(x^2+x+3)(x-3)=x^3-2x^2-9
correct
thank u
You're welcome! I'm happy to confirm that your belief is correct. The expression you provided, (x^2 + x + 3)(x - 3), indeed simplifies to x^3 - 2x^2 - 9.
To see how this simplification is done, we can use the distributive property of multiplication over addition:
(x^2 + x + 3)(x - 3) = x^2(x) + x^2(-3) + x(x) + x(-3) + 3(x) + 3(-3)
Now, let's multiply each term:
x^2(x) = x^3
x^2(-3) = -3x^2
x(x) = x^2
x(-3) = -3x
3(x) = 3x
3(-3) = -9
Now, let's combine like terms:
x^3 - 3x^2 + x^2 - 3x + 3x - 9
Simplifying further:
x^3 - 2x^2 - 9
So, the final result is x^3 - 2x^2 - 9, as you correctly mentioned.