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Answer:
5 (x-2) (x²+2x+4)
Step-by-step explanation:
Stating with 5x³ - 40, the want to simplify the x part by extracting the common factor, so
5x³ - 40 = 5(x³-8)
Now to factor x³-8, we can rewrite it in the format x³-2³, right?
And there's a formula to obtain x³-y³, which is the Difference of Cubes formula that goes like this: x³-y³= (x-y)(x²+xy+y²)
So, we apply this formula replacing the y with our value of 2:
x³-2³= (x-2)(x²+2x+2²) = (x-2)(x²+2x+4)
So, overall, we have 5x³ - 40 = 5 (x-2) (x²+2x+4)
Answer:A
Step-by-step explanation:
Option B
Step-by-step explanation:
Step 1 :
Option A does not represent the Venn diagram because it specifies that the triangle does not have 3 vertices which is not true
Step 2 :
Option B is the conditional statement which is represented by the Venn diagram because a triangle has 3 corners or vertices and 3 lines or edges.
Step 3 :
The statement in option 3 and 4 is not represented by the Venn diagram as it is not the definition of a triangle
