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a)5x-20y
=5x-4*5y
=5(x-4y)
b)x(x-1)-3x(x-1)
=(x-3x)(x-1)
c)x(x+y)-5x-5y
=x(x+y)-5(x+y)
=(x-5)(x+y)
tính nhanh
85.12,7+5.3.12,7
52.143-52.39-8.26
phân tích thành nhân tử
5X-20Y
5x(x-1)-3x(x-1)
x(x+y)-5x-5y
tính nhanh .
a) 85 .12,7 + 5.3.12,7 = 12,7 . ( 85 + 5.3 ) = 12,7 . (85+15) = 12,7 . 100 = 1270
b) 52.143 - 52.39 - 8.26 = 52.143 - 52.39 - 4.2.26 = 52.143 - 52.39 - 4.52 = 52.( 143 -39 - 4 ) = 52 . 100 = 5200
phân tích :
5x - 20y = 5 .(x - 4y)
5x(x-1)-3x.(x-1) = (x-1).(5x-3x) = 2x(x-1) hoặc 5x(x-1)-3x(x-1) = x(x-1)(5-3) = 2x(x-1)
x.(x+y)-5x-5y = x(x+y) - 5 (x+y) = (x+y)(x-5)
Ta có:
a) 5x - 20y = 5(x - 4y)
b) 5x(x - 1) - 3x(x - 1) = x(x - 1)2
c) x(x + y) - 5x - 5y = x(x + y) - (5x + 5y) = x(x + y) - 5(x + y) = (x - 5)(x + y)
d) x2 - 9 = (x - 3)(x + 3)
e) 42 - 25 = (4 - 5)(4 + 5) f) x6 - y6 = (x4)2 - (y4)2 = (x4 - y4)(x4 + y4)
a) 5x - 20y = 5( x - 4y)
b) 5x(x-1) - 3x(x-1) =2x (x-1)
c) x2 - 9 = x2 - 32 = ( x-3)(x+3)
e) 42-25 = 42 - 52 = ( 4-5)(4+5)= -9
f) x6 - y6 = (x3)2 - (y3)2 = ( x3 - y3 ) ( x3 + y3)
= (x-y) ( x2 + xy + y2 ) ( x+y) ( x2 -xy +y2)
a) \(5x-20y\\ =5\left(x-4y\right)\)
b) \(5x\left(x-1\right)-3x\left(x-1\right)\\ =\left(5x-3x\right)\left(x-1\right)\\ =2x\left(x-1\right)\)
c) \(x\left(x+y\right)-5x-5y\\ =x\left(x+y\right)-\left(5x+5y\right)\\ =x\left(x+y\right)-5\left(x+y\right)\\ =\left(x+y\right)\left(x-5\right)\)
a) 5x-20y=5(x-4y)
b) 5x(x-1)-3x(x-1)
= (x-1)(5x-3x)
c) x(x+y)-5x-5y
=x(x+y)-5(x+y)
=(x+y)(x-5)
\(x^2+xy-20y^2\)
\(=x^2+2.x.\frac{1}{2}y+\frac{1}{4}y^2-20y^2-\frac{1}{4}y^2\)
\(=\left(x+\frac{1}{2}y\right)^2-\frac{79}{4}\)
\(=\left(x+\frac{1}{2}y-\frac{\sqrt{79}}{2}\right)\left(x+\frac{1}{2}y+\frac{\sqrt{79}}{2}\right)\)
\(5y^3-10xy^2+5yx^2-20y=5y\left(y^2-2xy+x^2-4\right)\)
\(=5y\left[\left(x+y\right)^2-4\right]\)
\(=5y\left(x+y-2\right)\left(x+y+2\right)\)
Chúc bạn học tốt.
5x -20y = 5(x-4y)
=5(x-4y)