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GarryVolchara [31]
3 years ago
14

Factor the polynomial completely. Check your answer. 20x^3 - 245xy^2

Mathematics
2 answers:
Luden [163]3 years ago
8 0

Answer:

5x(2x - 7y)(2x + 7y)

Step-by-step explanation:

20x³ - 245xy² ← factor out 5x from both terms

= 5x(4x² - 49y²) ← this is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4x² - 49y²

= (2x)² - (7y)²

= (2x - 7y)(2x + 7y)

Then

20x³ = 5x(2x - 7y)(2x + 7y) ← in factored form

Alexeev081 [22]3 years ago
3 0

Answer:

5x(4x^2 - 49y^2) or 5x(2x-7y)(2x+7y)

Step-by-step explanation:

20x^3 - 245xy^2

5x(4x^2 - 49y^2)

Check your answer:

5x(4x^2 - 49y^2)

5x(4x^2) + 5x(-49y^2)

20x^3-245xy^2

5x(4x^2 - 49y^2) can also be written as:

5x(4x^2 - 49y^2)

5x(2x-7y)(2x+7y)

5x(4x^2+14xy-14xy+49y^2)

5x(4x^2+49y^2)

5x(4x^2) + 5x(-49y^2)

20x^3-245xy^2

Hope this helps!

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Answer:

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Step-by-step explanation:

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They want us to find the probability that the committee will consist of at least one student, which means that

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