b: \(\Leftrightarrow2\left(x^2-2x+1\right)-3x^2+5x-1=0\)

\(\Leftrightarrow2x^2-4x+2-3x^2+5x-1=0\)

\(\Leftrightarrow-x^2+x+1=0\)

\(\Leftrightarrow x^2-x-1=0\)

\(\text{Δ}=\left(-1\right)^2-4\cdot1\cdot\left(-1\right)=5\)

Vì Δ>0 nên phương trình có hai nghiệm phân biệt là:

\(\left\{{}\begin{matrix}x_1=\dfrac{1-\sqrt{5}}{2}\\x_2=\dfrac{1+\sqrt{5}}{2}\end{matrix}\right.\)

c: \(\Leftrightarrow x^2+6x+9-1-\left(x^2+8x-4x-32\right)=0\)

\(\Leftrightarrow x^2+6x+8-x^2-4x+32=0\)

=>2x+40=0

hay x=-20

d: \(\Leftrightarrow3x^2+12x+12+4x^2-4x+1-7\left(x^2-9\right)=36\)

\(\Leftrightarrow7x^2+8x+13-7x^2+63=36\)

=>8x+76=36

hay x=-5

a.x^3-1^3

b.x^3-5^3

c)(2x)^3+3^3

d)x^3+1/2^3

a) 

(x³ – 3x²+3x-1) – (x³+9) +(3x²-12) = 2

3x-22 = 2

3x =24

=> x= 8

b)

x³+6x²+12x+8-6x²-x³-x²+x² = 5

                    12x+8 = 5

                      12x = -3

                       =>x = -1/4

a) ( x - 1 )³ - ( x + 3 )(x² - 3x + 9 ) + 3( x² - 4 ) = 2

(x³-3x²\(\times\)1+3x\(\times\)1²-1³)-(x³+3³)+(3x²-3\(\times\)4)=2

x³-3x²+3x-1-x³-9+3x²-12=2

3x-40=2

3x=42

x=14

b ) ( x + 2 )³ - 6x² - x² ( x + 1 ) + x² = 5

(x³+3\(\times\)2x²+3x\(\times\)2²+2³)-6x²-(x³+x²)+x²=5

x³+6x²+12x+8-6x²-x³-x²+x²=5

12x+8=5

12x=\(-\)3

x=\(-\frac{1}{4}\)

bài dễ mà 

2(x - 1)² - 4(3 + x²) + 2x(x - 5)

= 2(x² - 2x + 1) - 12 - 4x² + 2x² - 10x

= 2x² - 4x + 2 - 12 - 4x² + 2x² - 10x

= - 14x - 10

a ) 2 ( x - 1 )² - 4 ( 3 + x² ) + 2x ( x - 5 )

=2(x²-2x+1)-4x²-12+2x²-10x

=2x²-4x+2-4x²-12+2x²-10x

=-14x-10

3 cái HĐT kia đăng lm j kia fai chứng minh à

1,2,3,4 không tính được.

`5)(2x-1/2)^2`

`=(2x)^2-2+(1/2)^2`

`=4x^2-2+1/4`

`6)(x+1/4)^2`

`=x^2+1/2x+1/16`

3) \(3x-2y^2=\left(\sqrt{3x}\right)^2-\left(y\sqrt{2}\right)^2=\left(\sqrt{3x}-y\sqrt{2}\right)\left(\sqrt{3x}+y\sqrt{2}\right)\)

4) \(5x-y^2=\left(\sqrt{5x}-y\right)\left(\sqrt{5x}+y\right)\)

 ( 3x+2). (3x-2)+(x-3)²-10x    

=9x²-4+x²-6x+9-10x

=9x²-4+x²-6x+9

=10x-16x+5

(2x+y)²+ (x-2y)²-5. (x+y).(x-y)

=4x²+4xy+y²+x²-4xy+4y²-5.(x²-y²)

=4x²+4xy+y²+x²-4xy+4y²-5x²+5y²

=10y²

(3x-5)²- x.(3x-5)

=9x²-30x+25-3x²+15

=6x²-30x+40

mjk làm ruj đó đúng mjk đi

Rút gọn biểu thức

a) \(\left(3x+5\right)^2+\left(3x-5\right)^2-\left(3x+2\right).\left(3x-2\right)\)

x2 là \(x^2\)hả bạn

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) x² + 20x + *

= x² + 2.x.10 + 10²

= x² + 20x + 100

b) 16x² + 24xy +*

= 16x² +2.x.12y + (12y)²

⁼ 16x² +24xy + 144y²

c) y² - * + 49

= y² - * +7²

= y² - 2.y.7 + 49

= y² - 14y + 49

d) * - 42xy + 49y²

= * - 42xy + (7y)²

⁼ * - 2.3x.7y + (7y)²

= (3x)² - 42xy + (7y)²

= 9x² - 42xy + 49y²