Factor this expression completely. 5x^3 + 40y^6
1 answer:
Answer:
see explanation
Step-by-step explanation:
Given
5x³ + 40 ← factor out 5 from each term
= 5(x³ + 8)
x³ + 8 ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²)
x³ + 8
= x³ + (2y²)³ → a = x and b = 2y²
= (x + 2y²)(x² - 2xy² + 4)
Hence
5x³ + 40
= 5(x + 2y²)(x² - 2xy² + 4) ← in factored form
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Answer:
Segment BF = 16
Step-by-step explanation:
The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately
The given theorem is the Triangle Proportionality Theorem
According to the theorem, given that segment DE is parallel to segment BC, we have;
Therefore;
Which gives;
Similarly, given that EF is parallel to AB, we get;
Therefore;
Which gives;
Therefore, the statement that can be proved using the given theorem is segment BF = 16.