Rút gọn các biểu thức: 3x(x – 2) – 5x(1 – x) – 8( – 3)
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\(a,x\left(2x^2-3\right)-x^2\left(5x+1\right)+x^2\)
\(=2x^3-3x-5x^3-x^2+x^2\)
\(=-3x^3-3x\)
\(b,3x\left(x-2\right)-5x\left(1-x\right)-8\left(x^2-3\right)\)
\(=3x^2-6x-5x+5x^2-8x^2+24\)
\(=-11x+24\)
=.= hok tốt!!
a)
\(x\left(2x^2-3\right)-x^2\left(5x+1\right)+x^2=x\left(2x^2-3-5x^2-x+x\right)\)
=\(x\left(-3x^2-3\right)=-3x\left(x^2+1\right)\)
b)
Nhân ra:
\(3x^2-6x-5x+5x^2-8x^2+24=-11x+24\)
Chúc bạn học tốt!
a. x(2x2 – 3) – x2(5x + 1) + x2
= 2x3 – 3x – 5x3 – x2 + x2 = -3x – 3x3
b. 3x(x – 2) – 5x(1 – x) – 8(x2 – 3)
= 3x2 – 6x – 5x + 5x2 – 8x2 + 24
= - 11x + 24
c. 1/2 x2(6x – 3) – x( x2 + 1/2 (x + 4)
= 3x3 - 3/2 x2 – x3 - 1/2 x + 1/2 x + 2
= 2x3 - 3/2 x2 + 2
a, x(2x2-3)-x2(5x+1)x2
=2x3-3x-5x3- x2+x2=-3x-3x3
học tốt nhé!!
a: Đặt A=3(5x-2)-|x-5|
TH1: x>=5
=>x-5>=0
A=3(5x-2)-|x-5|
=15x-6-(x-5)
=15x-6-x+5
=14x-1
TH2: x<5
=>x-5<0
A=3(5x-2)-|x-5|
=15x-6-(5-x)
=15x-6-5+x
=16x-11
b: Đặt B=|2x+3|+2x+7
TH1: x>=-3/2
=>2x+3>=0
B=|2x+3|+2x+7
=2x+3+2x+7
=4x+10
TH2: x<-3/2
=>2x+3<0
B=|2x+3|+2x+7
=-2x-3+2x+7
=4
c: đặt C=3x-1+|1-3x|
=3x-1+|3x-1|
TH1: x>=1/3
=>3x-1>=0
C=3x-1+|3x-1|
=3x-1+3x-1
=6x-2
TH2: x<1/3
=>3x-1<0
C=3x-1+|3x-1|
=3x-1+1-3x
=0
d: Đặt D=3(x-1)-2|x+3|
TH1: x>=-3
=>x+3>=0
D=3(x-1)-2|x+3|
=3(x-1)-2(x+3)
=3x-3-2x-6
=x-9
TH2: x<-3
=>x+3<0
D=3(x-1)-2|x+3|
=3x-3-2(-x-3)
=3x-3+2x+6
=5x+3
1. x(2x2-3)-x2(5x+1)+x2
=2x3-3x-5x3-x2+x2
=2x3-5x3-3x
=-3x3-3x
=-3x(x2-1)
=-3x(x-1)(x+1)
2.bó tay
\(3x^2-6x-5x+5x^2-8x^2+24\)
\(=\left(3x^2+5x^2-8x^2\right)-\left(6x+5x\right)+24\)
\(=-11x+24\)
\(\left(6x+1\right)^2+\left(6x-1\right)^2-2\left(1+6x\right)\left(6x-1\right)\)
\(=\left(6x+1\right)^2-2\left(6x+1\right)\left(6x-1\right)+\left(6x-1\right)^2\)
\(=\left(6x+1-6x+1\right)^2\)
\(=4\)
\(x\left(2x^2-3\right)-x^2\left(5x+1\right)+x^2\)
\(=2x^3-3x-5x^3-x^2+x^2\)
\(=\left(2x^3-5x^3\right)+\left(x^2-x^2\right)-3x\)
\(=-3x^3-3x\)
\(3x\left(x-2\right)-5x\left(1-x\right)-8\left(x^2-3\right)\)
\(=3x^2-6x-5x+5x^2-8x^2+24\)
\(=\left(3x^2+5x^2-8x^2\right)-\left(6x+5x\right)+24\)
\(=-11x+24\)
3x(x – 2) – 5x(1 – x) – 8( x 2 – 3)
= 3x.x + 3x .( -2) – [5x.1 + 5x. (- x)] – [8 x 2 + 8.(- 3)]
= (3 x 2 – 6x) – (5x – 5 x 2 ) – (8 x 2 – 24)
= 3 x 2 – 6x – 5x + 5 x 2 – 8 x 2 + 24
= ( 3 x 2 +5 x 2 – 8 x 2 )- ( 6x + 5x) + 24
= - 11x + 24