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a) \(x^2+20x+100=\left(x+10\right)^2\)
b) \(y^2-14y+49=\left(y-7\right)^2\)
p/s: chúc bn học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x2+20x+* = \(x^2+2.x.10+10^2=\left(x+10\right)^2\)
b) \(y^2-2.y.7+7^2=y^2-14y+49=\left(y-7\right)^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(x^2+4x+4=\left(x+2\right)^2\)
b) \(9x^2-12x+4=\left(3x-2\right)^2\)
c) \(x^2+x+\frac{1}{4}=\left(x+\frac{1}{2}\right)^2\)
d) kiểm tra lại đề nhé
e) \(4y^2-9x^2=\left(2x-3x\right)\left(2x+3x\right)\)
f) \(9y^2-\frac{1}{4}=\left(3y-\frac{1}{2}\right)\left(3y+\frac{1}{2}\right)\)
g) \(8x^3+8a^3=\left(2x+2a\right)\left(4x^2-4ax+4a^2\right)\)
h) \(64x^3-27y^3=\left(4x-3y\right)\left(9y^2+12xy+16x^2\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a. 4x² + 12x + 9 = (2x + 3)2
b. 25a² - 40ab+ 16b² = (5a - 4b)2
c. 9/6x² - 4 = (\(\frac{\sqrt{6}}{2}\)- 2)(\(\frac{\sqrt{6}}{2}\) + 2)
![](https://rs.olm.vn/images/avt/0.png?1311)
16x2 + 24xy + * = 16x2 + 24xy + 9y2 = ( 4x + 3y )2
* - 42xy + 49x2 = 9y2 - 42xy + 49x2 = ( 3y - 7x )2
25x2 + * + 81 = 25x2 + 90x + 81 = ( 5x + 9 )2
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x2+20x+*
=> x2 +2 x 5x2+52
= (x+5)2
b) 16x2+24xy+*
=> (4x)2+2 x 4x x 3+32
= (4x + 3)2
c) y2 -*+49
=> y2 - 2y72+72
= (y-7)2
d) * - 42xy + 49y2
= (3x)2 + 2 x 7y3x + (7y)2
= (3x+7y)2
a)20x+*
=>2 x 5x^2+52
= (x+5)^2
b) y^2 -*+49
=> y^2 - 2y7^2+7^2
= (y-7)^2
c,25x2+*+81
=(5x)^2+*+9^2
=(5x)^2+2.5.x.9+9^2
=(5x+9)^2