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\(96x^2-208x-132xy+148y+45y^2+96.\)
\(=\left(45y^2-60xy+40y\right)+\left(-72xy+96x^2-64x\right)+\left(108y-144x+96\right)\)
\(=5y\left(9y-12x+8\right)-8x\left(9y-12x+8\right)+12\left(9y-12x+8\right)\)
\(=\left(9y-12x+8\right)\left(5y-8x+12\right)\)
a) y 2 – 4 xy 2 + 4 x 2 y 2 . b) x 2 − 32 5 xy + 256 25 y 2 .
c) 1 9 a 2 b 4 − c 6 . d) a 4 − 8 9 a + 16 81 .
\(35x^2-49=10x^2< =>25x^2-7^2=0\)
\(< =>\left(5x\right)^2-7^2=0< =>\left(5x+7\right)\left(5x-7\right)=0\)
\(=>\left[{}\begin{matrix}x=-\dfrac{7}{5}\\x=\dfrac{7}{5}\end{matrix}\right.\)
Ta có: \(35x^2-49=10x^2\)
\(\Leftrightarrow25x^2-49=0\)
\(\Leftrightarrow\left(5x-7\right)\left(5x+7\right)=0\)
\(\Leftrightarrow x\in\left\{\dfrac{7}{5};-\dfrac{7}{5}\right\}\)
a) Kết quả - 2 x 4 + 3 x 2 + 5. b) Kết quả - 4 x 3 + 1 2 x − 1.
a: \(x^2-4xy+4y^2-2x+4y-35\)
\(=\left(x^2-4xy+4y^2\right)-\left(2x-4y\right)-35\)
\(=\left(x-2y\right)^2-2\left(x-2y\right)-35\)
\(=\left(x-2y\right)^2-7\left(x-2y\right)+5\left(x-2y\right)-35\)
\(=\left(x-2y\right)\left(x-2y-7\right)+5\left(x-2y-7\right)\)
\(=\left(x-2y-7\right)\left(x-2y+5\right)\)
c: \(\left(xy+ab\right)^2+\left(ay-bx\right)^2\)
\(=x^2y^2+a^2b^2+2xyab+a^2y^2-2aybx+b^2x^2\)
\(=x^2y^2+a^2y^2+a^2b^2+b^2x^2\)
\(=y^2\left(x^2+a^2\right)+b^2\left(a^2+x^2\right)\)
\(=\left(x^2+a^2\right)\left(y^2+b^2\right)\)
a: \(=15x^5y^3-6x^4y^2-6x^3y^3\)
c: \(=2x^4-2x^2-3x^3+3x+x^2-1\)
\(=2x^4-3x^3-x^2+3x-1\)