Their common desire to destroy the ambitions of Prussia and Great Britain and to secure a definitive peace between their respective countries led them to seal their alliance with a marriage
B. Is the right answer
First you have to take the common elements then use an identity/formula to get the rest
x^3 - 3x^2 + x-3
x^2 (x-3) +1 (x-3)
(x^2 +1) (x-3)
(x-1)(x+1)(x-3) {using a^2-b^2 on x^2-1^2}
(f+g)(x)=f(x)+g(x)=(2x-6)+(4x+7)=6x+1
(f-g)(x)=f(x)-g(x)=(2x-6)-(4x+7)=-2x-13
(fg)(x)=f(x)×g(x)=(2x-6)(4x+7)=8x^2-10x-42
(f+g)(-2)=f(-2)+g(-2)=(2(-2)-6)+(4(-2)+7)=-11
Answer:
Step-by-step explanation:
Let the third side of the triangle be 
.
We can apply the cosine rule to find 
.
We evaluate to obtain;
We take the positive square root of both sides to obtain;
The correct answer is B.
