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\(1,=\left(x+2\right)^2\\ 2,=\left(4-x\right)^2\\ 3,=\left(x+3y\right)^2\\ 4,=\left(2x-1\right)^2\\ 5,=\left(3-y\right)^2\\ 6,=\left(1-y\right)^2\\ 7,=\left(3x+2y\right)^2\\ 8,=-\left(y-5\right)^2\\ 9,=x^2+98=???\)
\(1,=x\left(x^2-2x+1\right)=x\left(x-1\right)^2\\ 2,=6\left(x^2+2xy+y^2\right)=6\left(x+y\right)^2\\ 3,=2y\left(y^2+4y+4\right)=2y\left(y+2\right)^2\\ 4,=2\left(x^2+2x+1-y^2\right)=2\left[\left(x+1\right)^2-y^2\right]\\ =2\left(x+y+1\right)\left(x-y+1\right)\\ 5,=16-\left(x-y\right)^2=\left(4-x+y\right)\left(4+x-y\right)\)
2) \(=6\left(x^2+2xy+y^2\right)=6\left(x+y\right)^2\)
3) \(=2y\left(y^2+4y+4\right)=2y\left(y+2\right)^2\)
4) \(=2\left[\left(x^2+2x+1\right)-y^2\right]=2\left[\left(x+1\right)^2-y^2\right]\)
\(=2\left(x+1-y\right)\left(x+1+y\right)\)
5) \(=16-\left(x^2-2xy+y^2\right)=16-\left(x-y\right)^2\)
\(=\left(4-x+y\right)\left(4+x-y\right)\)
2:
a: =3x^2-3xy-(5x-5y)
=3x(x-y)-5(x-y)
=(x-y)(3x-5)
b: =6x(2x-y)-3y(2x-y)
=(2x-y)(6x-3y)
=3(2x-y)^2
c: =x(a-b)-y(a-b)
=(a-b)(x-y)
d: =x^2(a-b)-y^2(a-b)
=(a-b)(x^2-y^2)
=(x-y)(x+y)(a-b)
e: \(=6y\left(2x^2-3xy-5y^2\right)\)
=6y(2x^2-5xy+2xy-5y^2)
=6y[x(2x-5y)+y(2x-5y)]
=6y(2x-5y)(x+y)
f: =5x(x-y)-10(x-y)
=(x-y)(5x-10)
=5(x-2)(x-y)
g: =3x-4x+3y-4y
=-x+y
h: =7x(x-y)+(x-y)
=(x-y)(7x+1)
k: =(5x)^2-(3x+3y)^2
=(5x-3y-3x)(5x+3x+3y)
=(8x+3y)*(2x-3y)
Tứ giác PQRS có:
∠P + ∠Q + ∠R + ∠S = 360⁰ (tổng các góc trong tứ giác PQRS)
x + x + 95⁰ + 65⁰ = 360⁰
2x + 160⁰ = 360⁰
2x = 360⁰ - 160⁰
2x = 200⁰
x = 200⁰ : 2
x = 100⁰
4:
h: -(x-9)(2x-1)
=-(2x^2-x-18x+9)
=-2x^2+19x-9
k: -(2x+3)(x-7)
=-(2x^2-14x+3x-21)
=-2x^2+11x+21
l: -(6x+1)(5x-9)
=-(30x^2-54x+5x-9)
=-30x^2+49x+9
m: =(2x-5)(7x-3)
=14x^2-6x-35x+15
=14x^2-41x+15
n: =(6x-8)(x-9)
=6x^2-54x-8x+72
=6x^2-62x+72
5:
a: \(=2x^3-2x^2+2x+3x^2-6x+24x-48-5x-5\)
=2x^3+x^2+15x-5
b: \(=4x^2+20x+2x^2+14x-6x-42-15x+27\)
=6x^2+13x-15
c: \(=-7x^2+14x+2x^2-4x+10x-20-3x^2+3x\)
=-8x^2+23x-20
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