pls.... help me about factoring trinomials...
\[4a ^{2}b ^{2}+12abc+9c ^{2}\]
Notice 2ab times 2ab = 4a^2b^2 Notice 3c times 3c = 9c^2 Therefore we have (2ab + 3c)(2ab + 3c)
how about this...\[16a ^{6}m ^{2}-8a ^{4}mn ^{2}+a ^{2}n ^{4}\]
Notice that we have a GCF of a^2, take this out a^2(16a^4m^2 - 8a^2mn^2 + n^4) Then notice 4a^2m times 4a^2m = 16a^4m^2 and n^2 times n^2 = n^4 Therefore a^2(4a^2m + n^2)(4a^2m + n^2)
\[\left( x-y \right)^{5}-243z ^{^{5}}\]
help me pls..
Using Technology: \[ (x-y-3 z) \left(x^4-4 x^3 y+6 x^2 y^2-4 x y^3+y^4+3 x^3 z-9 x^2 y z+9 x y^2 z-3 y^3 z+9 x^2 z^2-18 x y z^2+9 y^2 z^2+27 x z^3-27 y z^3+81 z^4\right) \]
\[32a ^{10}b ^{15}-243c ^{10}\]
pls....
\[32a ^{10}b ^{15}-243c ^{10}\]
\[ \left(2 a^2 b^3-3 c^2\right) \left(16 a^8 b^{12}+24 a^6 b^9 c^2+36 a^4 b^6 c^4+54 a^2 b^3 c^6+81 c^8\right) \]
thank you..
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