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Popular >

factor n^4+10n^2p+25p^2

Solution

factor

n^{4} + 10 n^{2} p + 25 p^{2}

Solution

(5 p + n^{2})^{2}

Solution steps

n^{4} + 10 n^{2} p + 25 p^{2}

Factor

n^{4} + 10 p n^{2} + 25 p^{2} : (5 p + n^{2}) (5 p + n^{2})

= (5 p + n^{2}) (5 p + n^{2})

Apply exponent rule:

aa = a^{2}

(5 p + n^{2}) (5 p + n^{2}) = (5 p + n^{2})^{2}

= (5 p + n^{2})^{2}

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Frequently Asked Questions (FAQ)

What is factor n^4+10n^2p+25p^2 ?
The solution to factor n^4+10n^2p+25p^2 is (5p+n^2)^2