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Answer:
[tex]5x(4x^2 - 49y^2)[/tex] or [tex]5x(2x-7y)(2x+7y)[/tex]
Step-by-step explanation:
[tex]20x^3 - 245xy^2[/tex]
[tex]5x(4x^2 - 49y^2)[/tex]
Check your answer:
[tex]5x(4x^2 - 49y^2)[/tex]
[tex]5x(4x^2) + 5x(-49y^2)[/tex]
[tex]20x^3-245xy^2[/tex]
[tex]5x(4x^2 - 49y^2)[/tex] can also be written as:
[tex]5x(4x^2 - 49y^2)[/tex]
[tex]5x(2x-7y)(2x+7y)[/tex]
[tex]5x(4x^2+14xy-14xy+49y^2)[/tex]
[tex]5x(4x^2+49y^2)[/tex]
[tex]5x(4x^2) + 5x(-49y^2)[/tex]
[tex]20x^3-245xy^2[/tex]
Hope this helps!
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