\(C=4u^4v^8+\left(u^2v^4\right)^4+4\)
\(C=\left(u^4v^8\right)^2+2.u^4v^8.2+2^2\)
\(C=\left(u^4v^8+2\right)^2\)
C= 4u4v8 + ( u2v4)4 +4
= (u4v8)2 +2.u4v8.2 + 22
= ( u4v8+2)2
Giải:
\(C=4u^4v^8+\left(u^2v^4\right)^4+4\)
\(\Leftrightarrow C=4u^4v^8+\left(u^4v^8\right)^2+4\)
\(\Leftrightarrow C=\left(u^4v^8\right)^2+4u^4v^8+4\)
\(\Leftrightarrow C=\left(u^4v^8\right)^2+2.u^4v^8.2+2^2\)
\(\Leftrightarrow C=\left[\left(u^4v^8\right)^2+2\right]^2\)
\(\Leftrightarrow C=\left(u^8v^{16}+2\right)^2\)
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