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a)Bt = (x2-a2)-(2x-2a)
=....
b)Bấm máy tìm nghiệm đi rồi phân tích
c);d);e);f)Nhóm số đầu vs số thứ 2, số thứ 3 vs số thứ 4
\(b,2x^2+4x+2-2y^2\)
\(=2\left(x^2+2x+1-y^2\right)\)
\(=2\left[\left(x+1\right)^2-y^2\right]\)
\(=2\left(x+1+y\right)\left(x+1-y\right)\)
a. 6x3y2 ( 2-x) + 9x2y2 (x-2)
= -6x3y2 (x-2) + 9x2y2 ( x-2)
= (x-2) 3x2y2 ( -2x + 3)
b. x2 - 4x + 4y - y2
= x2 - y2 - (4x - 4y )
= (x-y)(x+y) - 4( x-y)
= (x-y)(x+y-4)
c. 81x2 + 6yz -9y2-z2
= 81x2 - (9y2 - 6yz + z2 )
= (9x)2 - ( 3y - z )2
= (9x + 3y -z)(9x - 3y + z )
\(a,=6x^3y^2\left(2-x\right)-9x^2y^2\left(2-x\right)\)
\(=\left(2-x\right)\left(6x^3y^2-9x^2y^2\right)=\left(2-x\right)3x^2y^2\left(2x-3\right)\)
\(f,=\left(x-3-x-2\right)\left(x-3+x+2\right)\)
\(=-5\left(2x-1\right)\)
\(g,=\left(x-3\right)\left(x+3\right)+2\left(x+3\right)\)
\(=\left(x+3\right)\left(x-3+2\right)\)
\(=\left(x+3\right)\left(x-1\right)\)
a,\(xy+3x-7y-21\)
\(=x\left(y+3\right)-7\left(y+3\right)\)
\(=\left(y+3\right)\left(x-7\right)\)
\(b,2xy-15-6x+5y\)
\(=\left(2xy-6x\right)+\left(-15+5y\right)\)
\(=2x\left(y-3\right)-5\left(3-y\right)\)
\(=2x\left(y-3\right)+5\left(y-3\right)\)
\(=\left(y-3\right)\left(2x+5\right)\)
a)x mũ 4+2x²+1=(x²)²+2x²+1²=(x²+1)²
b) 4x²-12xy+9y²=(2x)²-2.2x.3y+(3y)²=(2x-3y)²
c) -x²-2xy-y²=-(x²+2xy+y²)=-(x+y) ²
d) (x+y) ²-2(x+y) +1=(x+y-1)²
\(a/x^4+2x^2+1=\left(x^2\right)^2+2.x^2.1+1^2=\left(x^2+1\right)^2\)
\(b/4x^2-12xy+9y^2=\left(2x\right)^2-2.2x.3y+\left(3y\right)^2=\left(2x+3y\right)^2\)
\(c/-x^2-2xy-y^2=-\left(x^2+2xy+y^2\right)=-\left(x+y\right)^2\)
\(d/\left(x+y\right)^2-2\left(x+y\right)+1=\left(\left(x+y\right)-1\right)^2\)
Chúc bạn học tốt!!!
a) \(4x^2-1=\left(2x\right)^2-1^2=\left(2x-1\right)\left(2x+1\right)\)
b) \(25a^2-0.01=\left(5a\right)^2-\left(0.1\right)^2=\left(5a-0.1\right)\left(5a+0.1\right)\)
a, \(4x^2-1\)
=\(\left(2x^2\right)-1\)
=\(\left(2x-1\right).\left(2x+1\right)\)
b,\(25a^2-0,01\)
=\(\left(5a\right)^2-\left(0,1\right)^2\)
=\(\left(5a-0,1\right)\left(5a+0,1\right)\)
c,2a(x+y)-3b(x+y)
=(x+y)(2a-3b)
d,\(4x^2-12xy+9y^2\)
=\(\left(2x-3y\right)^2\)
g,\(\left(x+y\right)^2-2\left(x+y\right)+1\)
=\(\left(x+y-1\right)^2\)
h,\(x^4-9x^3+x^2-9x\)
=\(x^3\left(x-9\right)+x\left(x-9\right)\)
=\(\left(x^3+x\right).\left(x-9\right)\)
=\(x.\left(x^2+1\right).\left(x-9\right)\)
i,\(x^2-x-y^2-y\)
=\(x^2-y^2-x-y\)
=\(\left(x-y\right).\left(x+y\right)-\left(x+y\right)\)
=\(\left(x+y\right).\left(x-y-1\right)\)