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a.2x2y-6xy2
=2xy(x-3y)
b.3x(x-1)+7x2(x-1)
=(x-1)(3x+7x2)
c.3x(x-a)+5a(a-x)
=3x(x-a)-5a(x-a)
=(x-a)(3x-5a)
d.x2+6xy+y2
=(x-y)2
e.125x3+y6
=(5x)3+(y2)3
=(5x+y2)(10x2-5xy+y4)
f.5x2y-10xyz+5xz2
=5x(y2-2yz+z2)
=5x(y-z)2
g.x2-2xy+y2-x2+yz
=(x-y)2-x2+yz
=(x-y-x)(x-y+x)+yz
h.x2-x-6
=(x2)-2x-3x-6
=x(x-2)-3(x-2)
=(x-2)(x-3)
i.x4+4x2+5
=(x2)2+4x2+5
=(x2)2+4x2+2-2+5
=(x2+2)2-3
nhung bai nay de lam bn cu thay thua so chung la nhom thui, bn xem mk lam rui lam tip nhe
a) = 2xy(x - 3y)
b) = (x-1)(3x+7x2) = x(3+7x)(x-1)
c) = (x-a)(3x-5a) bn đổi + 5a(a-x) = -5a(x-a)
................................
a) \(\left(3x-2\right)\left(3x-1\right)=\left(3x+1\right)^2\)
<=> \(9x^2-9x+2=9x^2+6x+1\)
<=> \(15x=1\) <=> \(x=\frac{1}{15}\)
b) \(\left(4x-1\right)\left(x+1\right)=\left(2x-3\right)^2\)
<=> \(4x^2+3x-1=4x^2-12x+9\)
<=> \(15x^2=10\) <=> \(x=\frac{2}{3}\)
c) \(\left(5x+1\right)^2=\left(7x-3\right)\left(7x+2\right)\) <=> \(25x^2+10x+1=49x^2-7x-6\)
<=> \(24x^2-17x-7=0\) <=> \(24x^2-24x+7x-7=0\)
<=> \(\left(24x+7\right)\left(x-1\right)=0\) <=> \(\orbr{\begin{cases}x=-\frac{7}{24}\\x=1\end{cases}}\)
d) (4 - 3x)(4 + 3x) = (9x - 3)(1 - x)
<=> 16 - 9x2 = 12x - 9x2 - 3
<=> 12x = 19
<=> x = 19/12
e) x(x + 1)(x + 2)(x + 3) = 24
<=> (x2 + 3x)(x2 + 3x + 2) = 24
<=> (x2 + 3x)2 + 2(x2 + 3x) - 24 = 0
<=> (x2 + 3x)2 + 6(x2 + 3x) - 4(x2 + 3x) - 24 = 0
<=> (x2 + 3x + 6)(x2 + 3x - 4) = 0
<=> \(\orbr{\begin{cases}x^2+3x+6=0\\x^2+3x-4=0\end{cases}}\)
<=> \(\orbr{\begin{cases}\left(x+\frac{3}{2}\right)^2+\frac{15}{4}=0\left(vn\right)\\\left(x+4\right)\left(x-1\right)=0\end{cases}}\)
<=> \(\orbr{\begin{cases}x=-4\\x=1\end{cases}}\)
g) (7x - 2)2 = (7x - 3)(7x + 2)
<=> 49x2 - 28x + 4 = 49x2 - 7x - 6
<=> 21x = 10 <=> x = 10/21
a) \(3x^2-3y^2=3\left(x^2-y^2\right)=3\left(x-y\right)\left(x+y\right)\)
b) \(x^2-xy+7x-7y=\left(x^2+7x\right)-\left(xy+7y\right)\)
\(=x\left(x+7\right)-x\left(y+7\right)=x\left(x+7-y-7\right)=x\left(x-y\right)\)
c)\(x^2-3x+2=x^2-2x-x+2=\left(x^2-x\right)-\left(2x-2\right)\)
\(=x\left(x-1\right)-2\left(x-1\right)=\left(x-2\right)\left(x-1\right)\)
d) \(x^3+2x^2y+xy^2-16x=x\left(x^2+2xy+y^2-16\right)\)
\(=x\left[\left(x+y\right)^2-16\right]=x\left(x+y-4\right)\left(x+y+4\right)\)
1.a) \(\Leftrightarrow\) 3x+10-2x =0
\(\Leftrightarrow\text{ 3x-2x=-10}\)
\(\Leftrightarrow x=-10\)
b) coi lại có thiếu ngoặc ko nhé
cứ nhân vào dấu ngoặc rồi làm như thường
Lời giải:
Ta có:
\(P=3x^2+3y^2-7x-7y+6xy+1\)
\(=3(x^2+y^2+2xy)-7(x+y)+1\)
\(=3(x+y)^2-7(x+y)+1\)
\(=3.1^2-7.1+1=-3\)
a: \(\Leftrightarrow9x^2-9x+2=9x^2+6x+1\)
=>-3x=-1
hay x=1/3
b: \(\Leftrightarrow4x^2+4x-x-1=4x^2-12x+9\)
=>3x-1=-12x+9
=>15x=10
hay x=2/3
c: \(\Leftrightarrow25x^2+10x+1=25x^2+25x-x-1=24x-1\)
=>10x-24x=-1-1
=>-14x=-2
hay x=1/7
d: \(\Leftrightarrow49x^2-28x+4=49x^2+14x-21x-6\)
=>-28x+4=-7x-6
=>-21x=-10
hay x=10/21
a. \(\left(3x-2\right)\left(3x-1\right)=\left(3x+1\right)^2\)
\(\Leftrightarrow9x^2-9x+2=9x^2+6x+1\)
\(\Leftrightarrow-3x=-1\)
\(\Leftrightarrow x=3\)
a, 7x+7y
= 7(x+y)
b,2x2y-6xy2
= 2xy(x-3y)
c,3x(x-1)+7x2(x-1)
= (3x + 7x^2) (x-1)
= x(3+7x)(x-1)
d, 3x(x-a)+5a(a-x)
= 3x(x-a) - 5x(x-a)
= (3x - 5x) (x-a)
= (-2x) (x-a)