Multiply the trinomial x^2+xy+y^2 times the binomial x-y and simplify.

1 answer:

6 0

Multiply then simplify, that's doing the same work twice...anyway

x^3+x^2y+xy^2-x^2y-xy^2-y^3

x^3-y^3 which if factored is:

(x-y)(x^2+xy+y^2) which is what you started with :)

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Consider the figure below.

a_sh-v [17]

<h3>Answer: Choice B) 122 degrees</h3>

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Explanation:

First solve for angle c

This angle adds to the 58 degree angle to get 180

c+58 = 180

c = 180-58

c = 122

This is congruent to angle f as well because alternate interior angles are congruent when we have parallel lines like this.

You could also solve 58+b = 180 to follow the same basic path as above. Corresponding angles are congruent when we have parallel lines.

3 0

3 years ago

Find the domain over which the function y = x + 6x is monotonic increasing.

iragen [17]

Answer:

x > -3

$\sf (-3, \infty)$

Step-by-step explanation:

Domain: input values (x-values)

Monotonic increasing: always increasing.
A function is increasing when its graph rises from left to right.

The graph of a quadratic function is a parabola. If the leading term is positive, the parabola opens upwards. The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.

<u>Vertex</u>

Standard form of quadratic equation: $\sf y=ax^2+bx+c$