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\(1,\)
\(x^2+x-12\)
\(=x^2-3x+4x-12\)
\(=x\left(x-3\right)+4\left(x-3\right)\)
\(=\left(x+4\right)\left(x-3\right)\)
\(2,\)
\(x^2-9x+20\)
\(=x^2-4x-5x+20\)
\(=x\left(x-4\right)-5\left(x-4\right)\)
\(=\left(x-5\right)\left(x-4\right)\)
\(3,\)
\(x^2+x-20\)
\(=x^2-4x+5x-20\)
\(=x\left(x-4\right)+5\left(x-4\right)\)
\(=\left(x+5\right)\left(x-4\right)\)
a) x2 + x - 12 = x2 - 3x + 4x - 12 = x(x - 3) + 4(x - 3) = (x - 3)(x + 4)
b) x2 - x - 12 = x2 + 3x - 4x - 12 = x(x + 3) - 4(x + 3) = (x + 3)(x - 4)
c) x2 - 9x + 20 = x2 - 4x - 5x + 20 = x(x - 4) - 5(x - 4) = (x - 4)(x - 5)
d) x2 + 9x + 20 = x2 + 4x + 5x + 20 = x(x + 4) + 5(x + 4) = (x + 4)(x + 5)
a,x^2+x-12=x^2-3x+4x-12
=x(x-3)+4(x-3)
=(x-3)*(x+4)
b) x2 - x - 12 = x2 + 3x - 4x - 12 = x(x + 3) - 4(x + 3) = (x + 3)(x - 4)
a) x2 + x - 20 = x2 - 4x + 5x - 20 = x(x - 4) + 5(x - 4) = (x - 4)(x + 5)
b) x2 - x - 20 = x2 + 4x - 5x - 20 = x(x + 4) - 5(x + 4) = (x + 4)(x - 5)
c) 2x2 - 3x - 2 = 2x2 - 4x + x - 2 = 2x(x - 2) + (x - 2) = (x - 2)(2x + 1)
d) 3x2 + x - 2 = 3x2 + 3x - 2x - 2 = 3x(x + 1) - 2(x + 1) = (x + 1)(3x - 2)
x^8+x^4+1=x^8-x^2+x^4-x+x^2+x+1=x^2(x^6-1)+x(x^3-1)+x^2+x+1=x^2(x^3-1)(x^3+1)+x(x^3-1)+x^2+x+1=x^2(x^3+1)(x-1)(x^2+x+1)+x(x-1)(x^2+x+1)+x^2+x+1=(x^2+x+1)[x^2(x^3+1)(x-1)+x(x-1)+1)]
x2 + x -12 = x2 + 4x - 3x - 12 = x(x+4) - 3(x+4) = (x+4)(x-3)
\(x^2+x-12\)
\(=x^2+x+\frac{1}{4}-\frac{49}{4}\)
\(=\left(x+\frac{1}{2}\right)^2-\left(\frac{7}{2}\right)^2\)
\(=\left(x+\frac{1}{2}-\frac{7}{2}\right)\left(x+\frac{1}{2}+\frac{7}{2}\right)\)
\(=\left(x-3\right)\left(x+4\right)\)
đề sai rùi phải là : \(36\left(x-y\right)^2-25\left(2x-1\right)^2\)
\(=>\left[6\left(x-y\right)\right]^2-\left[5\left(2x-1\right)\right]^2=\left[6\left(x-y\right)-5\left(2x-1\right)\right]\left[6\left(x-y\right)+5\left(2x-1\right)\right]\)
\(=>\left(6x-6y-10x+5\right)\left(6x-6y+10x-5\right)=\left(5-4x-6y\right)\left(16x-6y-5\right)\)
Áp dụng HDT : x^2 -y^2 =(x-y) (x+y)
Ủng hộ = 1 cái t i c k nha cảm ơn
36(x-y)2-25(2x-y)2
= 36(x-y)2 - 100(x-y)2
=(36-100)(x-y)2
= -64(x-y)2
BỔ SUNG HẰNG ĐẲNG THỨC LÀ GÌ
x^2 -x +20 =(ax +b)(cx+d)