Gấpp
Gấpp
Lời giải:
a. $2x^3y-4x^2y+2xy=2xy(x^2-2x+1)=2xy(x-1)^2$
b. $(x-2)^2-36=(x-2)^2-6^2=(x-2-6)(x-2+6)=(x-8)(x+4)$
c. $x^3+3x^2-4x-12=(x^3+3x^2)-(4x+12)=x^2(x+3)-4(x+3)$
$=(x+3)(x^2-4)=(x+3)(x^2-2^2)=(x+3)(x-2)(x+2)$
Gấpp
Bài 1:
a) \(A=x^2-2xy+y^2+x^2+2xy+y^2-2x^2+2y^2-4y^2+4=4\)
b) \(B=\left(x^3-3x^2+3x-1\right)+1020=\left(x-1\right)^3+1020=\left(11-1\right)^3+1020\)
\(=10^3+1020=1000+1020=2020\)
Gấpp
\(=x^3-y^3+2y^3=x^3+y^3=\dfrac{8}{27}+\dfrac{1}{27}=\dfrac{1}{3}\)
Cần gấpp
1a,5xy2-10xyz+5xz2 = 5x(y2-2xy+z2)
= 5x(y-z)2
b,x2-4y2+x+2y = (x-2y)(x+2y)+x+2y
= (x-2y+1)(x+2y)
2a,x(x-3)-x+3 = 0
<=> x(x-3)-(x-3) = 0
<=> (x-1)(x-3) = 0
Xét x-1 = 0 => x = 1
Xét x-3 = 0 => x = 3
b, Câu b bạn ghi lại đề giúp mình ko có mờ quá
Cần gấpp
1: Ta có: \(\left(2x+3\right)\left(x-1\right)+\left(2x-3\right)\left(1-x\right)=0\)
\(\Leftrightarrow2x^2-2x+3x-3+2x-2x^2-3+3x=0\)
\(\Leftrightarrow6x=6\)
hay x=1
3: Ta có: \(x^2+3x-10=0\)
\(\Leftrightarrow\left(x+5\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=2\end{matrix}\right.\)
Câu 1:
1: Ta có: \(P=\left(x+4\right)^2+\left(x+5\right)\left(x-5\right)-2x\left(x+1\right)\)
\(=x^2+8x+16+x^2-25-2x^2-2x\)
\(=6x-9\)
Cần gấpp
Cần gấpp
a) \(=2x\left(x^2-6x+9\right)=2x\left(x-3\right)^2\)
b) \(=\left(x^2-2x+1\right)-\left(y^2+2y+1\right)=\left(x-1\right)^2-\left(y+1\right)^2\)
\(=\left(x-1-y-1\right)\left(x-1+y+1\right)=\left(x-y-2\right)\left(x+y\right)\)
c) \(=1-\left(4x^2+4xy+y^2\right)=1-\left(2x+y\right)^2\)
\(=\left(1-2x-y\right)\left(1+2x+y\right)\)
c) \(1-4x^2-4xy-y^2=1^2-\left(4x^2+4xy+y^2\right)=1^2-\left(2x+y\right)^2=\left(1-2x-y\right)\left(1+2x+y\right)\)
\(2x\left(x^2-6x+9\right)=2x\left(x-3\right)^2\)
\(\left(x-y\right)\left(x+y\right)-2\left(x-y\right)=\left(x-y\right)\left(x+y-2\right)\)
\(1-\left(2x^2+4xy+y^2\right)=1-\left(2x+y\right)^2=\left(1-2x-y\right)\left(1+2x+y\right)\)
Cần gấpp
Bài II
\(A\left(x\right)⋮B\left(x\right)\Leftrightarrow2x^3+x^2-4x+m=\left(2x-1\right)\cdot a\left(x\right)\)
Thay \(x=\dfrac{1}{2}\Leftrightarrow\dfrac{1}{4}+\dfrac{1}{4}-2+m=0\Leftrightarrow m=\dfrac{3}{2}\)
Bài I
\(1,\Rightarrow x^2-4x-x^2+6x-9=0\\ \Rightarrow2x=9\Rightarrow x=\dfrac{9}{2}\\ 2,\Rightarrow x^2-3x-10=0\\ \Rightarrow x^2+2x-5x-10=0\\ \Rightarrow\left(x+2\right)\left(x-5\right)=0\Rightarrow\left[{}\begin{matrix}x=-2\\x=5\end{matrix}\right.\)