What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)?

a^2-ab+3ab^2-2b^2

Step-by-step explanation:

-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)

Open parenthesis

-2a^2b+a^2-5ab+3ab^2-2b^2+2a^2b+4ab

Add

-2a^2b+2a^2b=0

We have

a^2-5ab+3ab^2-2b^2+4ab

Add

-5ab+4ab=-ab

We have

a^2-ab+3ab^2-2b^2

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204