Write the expression as a product of expressions.

Mathematics

1 answer:

scoray [572]3 years ago

8 0

Answer:

$a^2(ab^{3}-b^{2}-c^{2})$

Step-by-step explanation:

Given

$a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}$

Required

Factor

$a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}$

Factor out $a^2$

$a^2(ab^{3}-b^{2}-c^{2})$

The expression cannot be further factored

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A bag contains 6 red balls and 3 blue balls. 4 balls are selected at random. find the probability of selecting 4 red balls.

geniusboy [140]

Assuming that the balls are not replaced;

$\frac{6}{9}* \frac{5}{8}* \frac{4}{7}* \frac{3}{6}$ = 5/42

(the numbers are decreasing in the denominator as you are presumably taking out the red balls. In the denominator, there is one less ball each time since you took out a red one).

Therefore, the probability of selected 4 red balls consecutively without replacement is 5/42.

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