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\(x^2-7x+12=x^2-3x-4x+12=x\left(x-3\right)-4\left(x-3\right)=\left(x-3\right)\left(x-4\right)\)
\(x^2-2x-3=x^2+x-3x-3=x\left(x+1\right)-3\left(x+1\right)=\left(x+1\right)\left(x-3\right)\)
\(x^2+3x-18=x^2-3x+6x-18=x\left(x-3\right)+6\left(x-3\right)=\left(x-3\right)\left(x+6\right)\)
a,x2-7x+12=(x-4)(x-3)
b,3x2+13x-10=(3x-2)(x+5)
c,x2-2x-3=(x-3)(x+1)
d,x2+3x-18=(x-3)(x+6)
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1: \(=2x^2\left(7x-2\right)\)
2: \(=5y^6\left(y^4+3\right)\)
3: \(=3xy\left(3xy-5x-7y\right)\)
4: \(=\left(x+1\right)\left(3x^2-2\right)\)
5: \(=\left(a+b+c\right)\left(a+b+c-ab-bc-ca-1\right)\)
6: \(=4x^2\left(x-2y\right)+20x\left(x-2y\right)\)
\(=4x\left(x-2y\right)\left(x+5\right)\)
7: \(=3x^2y\left(a-b+c\right)-2xy\left(a-b+c\right)\)
\(=xy\left(a-b+c\right)\left(3x-2\right)\)
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1) Có 3 = (22 - 1)
=> BT = (22 - 1)(22 + 1)(24 + 1)(28 + 1)(216 +1)
= (24 - 1)(24 + 1)(28 + 1)(216 +1)
= (28 - 1)(28 + 1)(216 +1)
= (216 - 1)(216 +1)
= 232 - 1
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\(4x^2y+2xy^2-6xy=2xy\left(2x+y-3\right)\)
Vậy đa thức phân tích được là: \(2xy\left(2x+y-3\right)\)
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A=(x2+4x+10)2 - 7(x2 +4x+11)+7
A=(x2+4x+10)2 -7(x2 +4x+11-7)
A=(x2+4x+10)2 -7(x2 +4x+10)
A=(x2 +4x+10)(x2+4x+10-7)
A=(x2 +4x+10)(x2+4x+3)
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a) x2 -5x + 6
= x2 -3x - 2x + 6
= ( x2 - 3x ) - ( 2x - 6 )
= x ( x - 3 ) - 2 ( x - 3 )
= ( x - 3 )( x - 2 )
b) x2 + 7x + 10
= x2 + 2x + 5x +10
= ( x2 + 2x ) + ( 5x + 10 )
= x ( x + 2 ) + 5 ( x + 2 )
= ( x + 2 )( x + 5 )
c) 2x2 - 7x + 3
= 2x2 - 6x - x + 3
= ( 2x2 - 6x ) - ( x - 3 )
= 2x ( x - 3 ) - ( x - 3 )
= ( x - 3 )( 2x - 1 )
Mấy câu sau làm tương tự
Hk tốt
a) Áp dụng hằng đằng thức hiệu của 2 bình phương ta có
\(x^2-7=x^2-\left(\sqrt{7}\right)^2=\left(x-\sqrt{7}\right)\left(x+\sqrt{7}\right)\)
Bài giải
\(a,\text{ }x^2-7=x^2-\left(\sqrt{7}\right)^2=\left(x-\sqrt{7}\right)\left(x+\sqrt{7}\right)\)
\(b,\text{ }4x-5=\left(2x\right)^2-\left(\sqrt{5}\right)^2=\left(2x-\sqrt{5}\right)\left(2x+\sqrt{5}\right)\)