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Popular >

factor p^3-343

Solution

factor

p^{3} - 343

Solution

(p - 7) (p^{2} + 7 p + 49)

Solution steps

p^{3} - 343

Rewrite

343

as

7^{3}

= p^{3} - 7^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

p^{3} - 7^{3} = (p - 7) (p^{2} + 7 p + 7^{2})

= (p - 7) (p^{2} + 7 p + 7^{2})

7^{2} = 49

= (p - 7) (p^{2} + 7 p + 49)

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Frequently Asked Questions (FAQ)

What is factor p^3-343 ?
The solution to factor p^3-343 is (p-7)(p^2+7p+49)