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a: \(7x-14y=7\left(x-2y\right)\)
b: \(4x^2-4x+1=\left(2x-1\right)^2\)
a) \(=6x^2y^2\left(6xy-7\right)\)
b) \(=3xy\left(x^3y+5x-6\right)\)
c) \(=\left(ax+ab\right)-\left(bx+x^2\right)=a\left(b+x\right)-x\left(b+x\right)=\left(a-x\right)\left(b+x\right)\)
d) \(=3\left(2x-1\right)-\left(2x-1\right)^2=\left(2x-1\right)\left(3-2x+1\right)=\left(2x-1\right)\left(4-2x\right)=2\left(2x-1\right)\left(2-x\right)\)
\(a,=6x^2y^2\left(6xy-7\right)\\ b,=3xy\left(x^3y+5x-6\right)\\ c,=x\left(a-x\right)-b\left(a-x\right)=\left(x-b\right)\left(a-x\right)\\ d,=3\left(2x-1\right)-\left(2x-1\right)^2=\left(2x-1\right)\left(3-2x+1\right)=2\left(2-x\right)\left(2x-1\right)\)
a: \(=\left(2x+y\right)^2-3^2=\left(2x+y+3\right)\left(2x+y-3\right)\)
b: =3x(x-y)-(x-y)=(x-y)(3x-1)
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Câu 2:
a: =x(x+6)
b: =(3x-1)*(3x+1)
c: \(=\left(x+y\right)^2-9=\left(x+y+3\right)\left(x+y-3\right)\)
d: \(=\left(x-y\right)\left(x+y\right)-\left(x-y\right)=\left(x-y\right)\left(x+y-1\right)\)
\(a, 4x^2-4y^2\)
\(= (4x-4y)(4x+4y)\)
\(b. x^2-xy+2x-2y\)
\(= (x^2-xy)+(2x-2y)\)
\(=x(x-y)+2(x-y)\)
\(=(x+2)(x-y)\)
\(c, 6x^2-7x+2\)
\(= 6x^2-4x-3x+2\)
\(=(6x^2-4x)-(3x-2)\)
\(= 2x(3x-2)-(3x-2)\)
\(=(3x-2)(2x-1)\)
phần a Sai rồi bạn nhá mik sửa cho:
\(a.4x^2-4y^2\\ =4\left(x^2-y^2\right)\\ =4\left(x-y\right)\left(x+y\right)\)
Bạn nên cẩn thận hơn ở những lần sau :))
\(A=x^2-y^2+7x+7y\)
\(=\left(x-y\right)\left(x+y\right)+7\left(x+y\right)\)
\(=\left(x+y\right)\left(x-y+7\right)\)
\(B=4x^3-4x^2+x\)
\(=x\left(4x^2-4x+1\right)\)
\(=x\left(2x-1\right)^2\)
\(C=x^2-6xy+9y^2-9\)
\(=\left(x-3y\right)^2-9\)
\(=\left(x-3y-3\right)\left(x-3y+3\right)\)
A=\(x^2+7x+7y-y^2=\left(x^2-y^2\right)+\left(7x+7y\right)=\left(x-y\right)\left(x+y\right)+7\left(x+y\right)=\left(x+y\right)\left(x-y+7\right)\)
B=\(4x^3-4x^2+x=x\left(4x^2-4x+1\right)=x\left(2x-1\right)^2\)
C=\(x^2+9y^2-9-6xy=\left(x^2-6xy+9y^2\right)-9=\left(x-3y\right)^2-3^2=\left(x-3y-3\right)\left(x-3y+3\right)\)
\(A=4x\left(x^2-2x+1\right)=4x\left(x-1\right)^2\\ B=\left(x-y\right)^2-16=\left(x-y-4\right)\left(x-y+4\right)\\ C=\left(x-2\right)\left(x^2+2x+4\right)+3\left(x-2\right)=\left(x-2\right)\left(x^2+2x+7\right)\)
a) \(A=4x\left(x^2-2x+1\right)=4x\left(x-1\right)^2\)
b) \(B=\left(x^2-2xy+y^2\right)-16=\left(x-y\right)^2-16=\left(x-y-4\right)\left(x-y+4\right)\)
c) \(C=\left(x-2\right)\left(x^2+2x+4\right)+3\left(x-2\right)=\left(x-2\right)\left(x^2+2x+7\right)\)
a, 4x3 -12x2 + 9x
=x(4x2 -12x + 9)
=x((2x)2 - 2.3.2x + 32)
=x(2x - 3)2
b,ab + c2 -ac - bc
=(ab - ac) + (c2 - bc)
=a(b - c) + c(c - b)
=a(b - c) - c(b - c)
=(a - c)(b - c)
c,4x2 - y2 + 1 - 4x
=((2x)2 - 2.2x + 1) - y2
=(2x - 1)2 - y2
=(2x - y -1)(2x + y - 1)
d,6x2 - 7x - 20
= -(-6x2 + 7x + 20)
= -(-6x2 + 11x +10 + 10 - 4x)
= -((3x + 2)(-2x + 5) + 10 - 4x)
= -(3x + 2)(-2x + 5) -10 + 4x
= -(3x + 2)(-2x + 5) - 2(-2x + 5)
= -(-2x + 5)(3x + 4)