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\(=\left[\left(-6x\right)+\left(x^2+9\right)\right]\left[\left(-6x\right)-\left(x^2+9\right)\right]\)
\(=\left(-6x\right)^2-\left(x^2+9\right)^2\)
\(=36x^2-\left(x^4+18x^2+81\right)\)
\(=-x^4+18x^2-81\)
\(=-\left(x^4-18x^2+81\right)\)
\(=-\left(x^2-9\right)^2\)
Ta có: \(\left(x^2-6x+9\right)\left(-x^2-6x-9\right)\)
\(=-\left(x^2-6x+9\right)\left(x^2+6x+9\right)\)
\(=-\left[\left(x-3\right)^2\cdot\left(x+3\right)^2\right]\)
\(=-\left(x^2-9\right)^2\)
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a) A= (x-3)^2
thay x=203 vào 3, ta có
A=(203-3)^2=200^2=40000
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\(\Leftrightarrow\left(x^2-6x+9\right)^2-1-15\left(x^2-6x+10\right)=0\)
\(\Leftrightarrow\left(x^2-6x+8\right)\left(x^2-6x+10\right)-15\left(x^2-6x+10\right)=0\)
\(\Leftrightarrow\left(x^2-6x+10\right)\left(x^2-6x-7\right)=0\)
\(\Leftrightarrow\left(x^2-6x+10\right)\left(x^2+x-7x-7\right)=0\)
\(\Leftrightarrow\left(x^2-6x+10\right)\left(x+1\right)\left(x-7\right)=0\)
\(Vi:x^2-6x+10=0\Leftrightarrow\left(x-3\right)^2+1>0,\forall x\)
\(\Leftrightarrow x+1=0\Leftrightarrow x=-1\)
\(hay:x-7=0\Leftrightarrow x=7\)
\(V...\)
\(:)\)
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