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a ) \(\dfrac{9}{4}x^2+3x+4=\left(\dfrac{3}{2}x+2\right)^2\)
b )\(\left(9x^2+12x+4\right)+6\left(3x+2\right)+9=\left(3x+5\right)^2\)
Chúc bạn học tốt !!
A, \(\frac{9}{4}x^2+3x+4\)
= \(\left(\frac{3}{2}x^2\right)+2\cdot\frac{3}{2}x\cdot2+2^2\)
= \(\left(\frac{3}{2}x+2\right)^2\)
a/ 9x2-12xy+4y2 = (3x - 2y)2
b/ 25x2-10x+1 = (5x - 1)2
c/ 9x2-12x+4 = (3x - 2)2
d/ 4x2+20x+25 = (2x + 5)2
e/ x4-4x2+4 = (x2 - 2)2
a, \(25x^2+5xy+\frac{1}{4}y^2=\left(5x\right)^2+2.5x.\frac{1}{2}y+\left(\frac{1}{2}y\right)^2\)
\(=\left(5x+\frac{1}{2}y\right)^2\)
b, \(9x^2+12x+4=\left(3x\right)^2+2.3x.2+2^2=\left(3x+2\right)^2\)
c, \(x^2-6x+5-y^2-4y=\left(x^2-6x+9\right)-\left(y^2+4y+4\right)\)
\(=\left(x-3\right)^2-\left(y+2\right)^2=\left(x-y-5\right)\left(x+y-1\right)\)
d, \(\left(2x-y\right)^2+4\left(x+y\right)^2-4\left(2x-y\right)\left(x+y\right)\)
\(=\left(2x-y\right)^2-2\left(2x-y\right)\left(2x+2y\right)+\left(2x+2y\right)^2\)
\(=\left(2x-y+2x+2y\right)^2=\left(4x+y\right)^2\)
a ) Ta có : -x3 + 3x2 - 3x + 1
= 1 - 3x + 3x2 - x3
= (1 - x)3
b) Ta có : 8 - 12x + 6x2 - x3
= 23 - 3.22.x + 3.2.x2 - x3
= (2 - x)3
a, -x3 + 3x2 - 3x + 1
= -x3 + 3.x2.1 - 3.x.12 + 13
= ( -x + 1 )3
\(a.=\left(2x\right)^2-2.2x.2y+\left(2y\right)^2=\left(2x-2y\right)^2\)
\(b.=\left(3x\right)^2-2.3x.2+2^2=\left(3x-2\right)^2\)
a. 4x2+4y2-8xy=(2x)2+(2y)2-8xy
=(2x-2y)2
b.9x2-12x+4=(3x)2-12x+22
=(3x-2)2
c.xy2+1/4x2y4+1=xy2+(1/2xy2)2+1
=(1/2xy2+2)2
a) ta có : \(-x^3+3x^2-3x+1=1-3.1^2.x+3.1.x^2-x^3=\left(1-x\right)^3\)
b) ta có : \(64-48x+12x^2-x^3=4^3-3.4^2x+3.4.x^2-x^3=\left(4-x\right)^3\)
Ta có: a/ -x3+3x2-3x+1 = -(x3-3x2+3x-1)
= -(x-1)3
b/ 64-48x+12x2-x3 = 43-3.42.x+3.a.x2-x3
= (4-x)3
a, x^3 +3.3.x^2+3.3^2.x+3^3
= (x+3)^3.
b , 23-3*x*22+3*x2*2-x3
<=> (2-x)3
c, (x2)3-3*(x2)2*x+3*x2*x2-x3
<=> (x2-x)3
b. (9x2 +12x + 4) + 6(3x + 2) + 9
= (3x+2)^2 + 2.3.(3x+2) + 3^2
= (3x+2+3)^2
= (3x+5)^2