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YC
1
H9
HT.Phong (9A5)
CTVHS
19 tháng 9 2023
\(\dfrac{x^2}{2}-2x^2\)
\(=\dfrac{1}{2}x^2-2x^2\)
\(=-\dfrac{3}{2}x^2\)
NT
1
H9
HT.Phong (9A5)
CTVHS
26 tháng 6 2023
a) \(\left(2x+1\right)^2+2\left(2x+1\right)+1\)
\(=\left(2x+1\right)^2+2\cdot\left(2x+1\right)\cdot1+1^2\)
\(=\left[\left(2x+1\right)+1\right]^2\)
\(=\left(2x+2\right)^2\)
b) \(\left(x-y\right)^2+\left(x+y\right)^2-2\left(x-y\right)\left(x+y\right)\)
\(=\left(x-y\right)^2-2\left(x-y\right)\left(x+y\right)+\left(x+y\right)^2\)
\(=\left[\left(x-y\right)-\left(x+y\right)\right]^2\)
\(=\left(x-y-x-y\right)^2\)
\(=\left(-2y\right)^2\)
\(=4y^2\)
H
6 tháng 7 2023
\(1,\left(2x+1\right)^2+2\left(2x+1\right)+1\\ =\left(2x+1\right)^2+2.\left(2x+1\right).1+1^2\\ =\left[\left(2x+1\right)+1\right]^2\\ b,\left(3x-2y\right)^2+4\left(3x-2y\right)+4\\ =\left(3x-2y\right)^2+2.\left(3x-2y\right).2+2^2\\ =\left[\left(3x-2y\right)+2\right]^2\)
H9
HT.Phong (9A5)
CTVHS
6 tháng 7 2023
1) \(\left(2x+1\right)^2+2\left(2x+1\right)+1\)
\(=\left(2x+1\right)^2+2\left(2x+1\right)\cdot1+1^2\)
\(=\left[\left(2x+1\right)+1\right]^2\)
\(=\left(2x+2\right)^2\)
2) \(\left(3x+2y\right)^2+4\left(3x+2y\right)+4\)
\(=\left(3x+2y\right)^2+2\cdot\left(3x+2y\right)\cdot2+2^2\)
\(=\left[\left(3x+2y\right)+2\right]^2\)
\(=\left(3x+2y+2\right)^2\)
TL
28 tháng 7 2018
= x^3-3x^2-3x^2+9x
=x^2(x-3)-3x(x-3)
=x(x-3)(x-3)
=x(x-3)^2
Đầu tiên nhé
H9
HT.Phong (9A5)
CTVHS
6 tháng 7 2023
5) \(\left(x-y\right)^2+\left(x+y\right)^2-2\left(x+y\right)\left(x-y\right)\)
\(=\left(x-y\right)^2-2\left(x-y\right)\left(x+y\right)+\left(x+y\right)^2\)
\(=\left[\left(x-y\right)-\left(x+y\right)\right]^2\)
\(=\left(x-y-x-y\right)^2\)
\(=\left(-2y^2\right)\)
\(=4y^2\)
6) \(\left(5-x\right)^2+\left(x+5\right)^2-\left(2x+10\right)\left(x-5\right)\)
\(=\left(x-5\right)^2-2\left(x-5\right)\left(x+5\right)+\left(x+5\right)^2\)
\(=\left[\left(x-5\right)-\left(x+5\right)\right]^2\)
\(=\left(x-5-x-5\right)^2\)
\(=\left(-10\right)^2=100\)
7) \(\left(x-2\right)^2+\left(x+1\right)^2+2\left(x-2\right)\left(-1-x\right)\)
\(=\left(x-2\right)^2-2\left(x-2\right)\left(x+1\right)+\left(x+1\right)^2\)
\(=\left[\left(x-2\right)-\left(x+1\right)\right]^2\)
\(=\left(-3\right)^2=9\)
8) \(-\left(2x+3y\right)^2+\left(2x-3y\right)^2-2\left(4x^2-9y^2\right)\)
\(=\left(2x-3y\right)^2+2\left(2x+3y\right)\left(2x-3y\right)+\left(2x+3y\right)^2\)
\(=\left[\left(2x+3y\right)+\left(2x-3y\right)\right]^2\)
\(=\left(4x\right)^2=16x^2\)
NN
1
18 tháng 9 2017
\(=2+1+2\sqrt{2}=\left(\sqrt{2}\right)^2+1+2\sqrt{2}=\left(1+\sqrt{2}\right)^2\)
F
0
H9
HT.Phong (9A5)
CTVHS
6 tháng 7 2023
3) \(\left(x+3\right)^2+\left(x-2\right)^2-2\left(x+3\right)\left(x-2\right)\)
\(=\left(x+3\right)^2-2\left(x+3\right)\left(x-2\right)+\left(x-2\right)^2\)
\(=\left[\left(x+3\right)-\left(x-2\right)\right]^2\)
\(=\left(x+3-x+2\right)^2\)
\(=5^2=25\)
4) \(\left(3x-5\right)^2-2\left(3x-5\right)\left(3x+5\right)+\left(3x+5\right)^2\)
\(=\left[\left(3x-5\right)-\left(3x+5\right)\right]^2\)
\(=\left(3x-5-3x-5\right)^2\)
\(=\left(-10\right)^2\)
\(=100\)
x2-1=(x-1)(x+1)