Rút gọn các biểu thức: P = (5x − 1) + 2(1 − 5x)(4 + 5x) + 5 x + 4 2
Bài 5: Rút gọn các biểu thức:
P = (5x − 1) + 2(1 − 5x)(4 + 5x) + (5x+4)2
\(P=\left(5x-1\right)+2\left(1-5x\right)\left(4+5x\right)+\left(5x+4\right)^2\)
\(P=5x-1+\left(2-10x\right)\left(4+5x\right)+\left(5x+4\right)^2\)
\(P=5x-1+8+10x-40x-50x^2+25x^2+40x+16\)
\(P=\left(25x^2-50x^2\right)+\left(5x+10x-40x+40x\right)+\left(-1+8+16\right)\)
\(P=-25x^2+15x+23\)
rút gọn biểu thức
a. (5x+1)^2+2(5x-1)(5x+1)+(5x+1)^2
b.(x^2+8)(x+4)-(x+4)(x^2-4x+16)
Rút gọn các biểu thức :
a. A = ( 5x - 1) + 2( 1 - 5x).( 4+ 5x ) + ( 5x+ 4 )^2
b. B = ( x - y )^3 + ( y + z )^3 + ( y - x )^3 - 3xy( x+ y )
Cho biểu thức A = 5x+2 + |5x+4|
Rút gọn biểu thức AA trong các trường hợp:
+) x ≥\(\dfrac{-4}{5}\): A= ?
+) x < \(\dfrac{-4}{5}\) :A = ?
\(x\ge-\dfrac{4}{5}\)
\(A=5x+2+\left|5x+4\right|=5x+2+5x+4=10x+6\)
\(x< -\dfrac{4}{5}\)
\(A=5x+2+\left|5x+4\right|=5x+2-5x+4=6\)
Rút gọn biểu thức :
A = 12.( 5^2 + 1 ).( 5^4 +1 ).( 5^8 + 1 ).( 5^16 + 1 )
B = ( 5x - 1 )2 + 2.( 1- 5x ).( 4 + 5x ) + ( 5x + 4 )^2
Rút gọn biểu thức:
a) P= (5x-1)+2x(1-5x)x(4+5x)+(5x+4)^2
b) Q= (x-y)^3+(y+x)^3+(y-x)^3-3xy(x+y)
c) 12(5^2+1)(5^4+1)(5^8+1)(5^16+1)
Rút gọn biểu thức:
a) P= (5x-1)+2x(1-5x)x(4+5x)+(5x+4)^2
b) Q= (x-y)^3+(y+x)^3+(y-x)^3-3xy(x+y)
c) 12(5^2+1)(5^4+1)(5^8+1)(5^16+1)
a: \(P=\left(5x-1-5x-4\right)^2=\left(-3\right)^2=9\)
b: \(Q=\left(x+y\right)^3-3xy\left(x+y\right)=x^3+y^3\)
c: \(=\dfrac{\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)}{2}\)
\(=\dfrac{\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)}{2}\)
\(=\dfrac{\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)}{2}\)
\(=\dfrac{5^{32}-1}{2}\)
Rút gọn biểu thức sau: P=(5x-1)+2(1-5x)(4+5x)+(5x+4)2
DỀ sai ròi kìa
P = ( 5x- 1) ^2 + 2 ( 1 - 5x) .(4+5x) + (5x+4)^2
= (5x- 1 )^2 - 2 ( 5x- 1).(5x+4) + (5x+4)^2
= (5x - 1 - 5x - 4) ^2 = ( - 5)^2 = 25
(**** )
P = (5x - 1) + [(-2).(-1).(1-5x).(4+5x)] + (5x+4)^2
= (5x - 1).[(-1)-2.(-1).(4+5x)] + (25x^2+40x+16)
= [(5x - 1).(10x + 7)] + (25x^2+40x+16)
= 50x^2 +35x - 10x - 7 + 25x^2+40x+16
= 75x^2 + 65x -9
Rút gọn biểu thức sau: P=(5x-1)+2(1-5x)(4+5x)+(5x+4)2