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\(a,\left(6x+5y\right)\left(6x-5y\right)\)
\(=\left(6x\right)^2-\left(5y\right)^2\)
\(=36x^2-25x^2\)
\(b,\left(-4xy-5\right)\left(5-4xy\right)\)
\(=-\left(5+4xy\right)\left(5-4xy\right)\)
\(=-[5^2-\left(4xy\right)^2]\)
\(=-\left(25-16xy^2\right)\)
\(c,\left(3x-4\right)^2+2.\left(3x-4\right).\left(4-x\right)+\left(4-x\right)^2\)
\(=\left(3x-4\right)\left(3x-4+2\right)\left(4-x\right)\left(1+4-x\right)\)
\(=\left(3x-4\right)\left(3x-2\right)\left(4-x\right)\left(5-x\right)\)
\(b,\left(5x-7y^2\right).\left(5x+7y^2\right)=\left(25x^2-49y^4\right)\)
\(c,\left(5x-7y\right)^2.\left(5x+7y\right)^2=\left(25x^2-70xy+49x^2\right).\left(25x^2+70xy+49x^2\right)\)\(d,\left(\frac{1}{3}x+5y\right).\left(5y-\frac{1}{3}x\right)=25y^2-\frac{1}{9}x^2\) học tốt nhaa) (2x-y)2 = (2x)2 - 2.2x.y + y2 =4x2-4xy+y2
b)(5x-7y2).(5x+7y2) = (5x)2 - (7y2) 2 =25x2 - 49y4
câu c,d mk ko bít làm
f: \(=\dfrac{5x-3-x+3}{4x^2y}=\dfrac{4x}{4x^2y}=\dfrac{1}{xy}\)
g: \(=\dfrac{3x+10-x-4}{x+3}=\dfrac{2x+6}{x+3}=2\)
h: \(=\dfrac{4-2+x}{x-1}=\dfrac{x+2}{x-1}\)
n: \(=\dfrac{3x-x+6}{x\left(x+3\right)}=\dfrac{2\left(x+3\right)}{x\left(x+3\right)}=\dfrac{2}{x}\)
p: \(=\dfrac{x^2-9-x^2+9}{x\left(x-3\right)}=0\)
k: \(=\dfrac{x-2x-4+x-2}{\left(x+2\right)\left(x-2\right)}=\dfrac{-6}{x^2-4}\)
m: \(=\dfrac{3x-x+6}{x\left(2x+6\right)}=\dfrac{2x+6}{x\left(2x+6\right)}=\dfrac{1}{x}\)
a) xz-yz+5y-5x=\(z\left(x-y\right)+5\left(y-x\right)\)=\(z\left(x-y\right)-5\left(x-y\right)\)=\(\left(z-5\right)\left(x-y\right)\)
b) \(3x^2-6x+3-3y^2\)=\(3\left(x^2-2x+1-y^2\right)\)=\(3\left(\left(x-1\right)^2-y^2\right)\)=\(3\left(x-1-y\right)\left(x-1+y\right)\)
1) \(1-6x^2=\left(1-\sqrt{6}x\right)\left(1+\sqrt{6}x\right)\)
2) \(5x\left(x+3\right)-7\left(3+x\right)=\left(x+3\right)\left(5x-7\right)\)
a,(5x-3)(5x+3)
=5x.5x-(-3).3
=25x^2-9
b,(6x+5y).(6x-5y)
=6x.6x-5y.(-5y)
=36x^2-25y^2
Goodluck!