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b: \(x^2+y^2=\left(x+y\right)^2-2xy=25-12=13\)
c: \(\left(x-y\right)^2=\left(x+y\right)^2-4xy=5^2-4\cdot6=1\)
=>x-y=1 hoặc x-y=-1
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1) ( a + b ) ( a + b )
= a2 + ab + ab + b2
= a2 + 2ab + b2
2) ( a+ b ) ( a - b )
= a2 - ab + ab -b2
= a2 - b2
3) ( a - b ) ( a + b )
= a2 + ab - ab - b2
= a2 - b2
Hk tốt
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Bài 4:
\(P=\dfrac{x^2-2x+2022}{x^2}=\dfrac{2022x^2-2.2022x+2022^2}{2022x^2}=\dfrac{\left(x^2-2.2022x+2022^2\right)+2021x^2}{2022x^2}=\dfrac{\left(x-2022\right)^2}{2022x^2}+\dfrac{2021}{2022}\ge\dfrac{2021}{2022}\)\(P_{min}=\dfrac{2021}{2022}\Leftrightarrow x=2022\)
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a: \(=4xy\left(1-5x^2y\right)\)
b: \(=\left(x-y\right)\left(x+y\right)+3\left(x-y\right)=\left(x-y\right)\left(x+y+3\right)\)
c: \(=x\left(x-a\right)+y\left(x-a\right)=\left(x-a\right)\left(x+y\right)\)
d: \(=\left(x+2y\right)^2-36=\left(x+2y+6\right)\left(x+2y-6\right)\)
a)x2+xy-2y2=x2-xy+2xy-2y2
=x(x+2y)-y(x+2y)=(x+2y)(x-y)
câu b sai đề nha
a) x2 + xy - 2y2
=x2 + xy - y2 - y2
=(x2 - y2)+(xy-y2)
=(x-y)(x+y)+y(x-y)
=(x-y)(2y+x)