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36x^18+60x^9y^2+25y^4 factored in two products of polynomial

36x^18+60x^9y^2+25y^4 factored in two products of polynomial
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36x^18+60x^9y^2+25y^4 factored in two products of polynomial

User Zhech
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36x^(18)+60x^9y^2+25y^4=6^2x^(9\cdot2)+2\cdot6x^9\cdot5y^2+5^2y^(2\cdot2)\\\\=6^2(x^9)^2+2\cdot6x^9\cdot5y^2+5^2(y^2)^2\qquad(*)\\\\=(6x^9)^2+2\cdot6x^9\cdot5y^2+(5y^2)^2\qquad(**)\\\\=(6x^9+5y^2)^2=(6x^2+5y^2)(6x^9+5y^2)\\\\Used:\\\\(*)\qquad(a^n)^m=a^(nm)\\\\(**)\qquad(a+b)^2=a^2+2ab+b^2

User Matthew Watson
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