Giup toi giai bai nay voi:
3a^2-6ab+3b^2-12c^2
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\(3a^2-6ab+3b^2-12c^2\)
\(=3\left(a^2-2ab+b^2-4c^2\right)\)
\(=3\left(\left(a-b\right)^2-\left(2c\right)^2\right)\)
\(=3\left(a-b-2c\right)\left(a-b+2c\right)\)
3a2 - 6ab + 3b2 - 12c2 = 3.(a2 - 2ab + b2 - 4c2) = 3.[(a - b)2 - 4c2] = 3.(a - b - 2c).(a - b + 2c)
\(\left(x-3\right)^2=25\)
\(\Rightarrow\left(x-3\right)^2=5^2\)
\(\Rightarrow x-3=5\)
\(\Rightarrow x=8\)
(x - 3)2 = 25
(x - 3)2 = 52 = (-5)2
=> x - 3 thuộc {5 ; -5}
=> x thuộc {8 ; -2}
Vậy x thuộc {8 ; -2}
a) 3a2-6ab+3b2-12c2
=3.(a2-2ab+b2-4c2)
=3.[(a-b)2-4c2]
=3.(a-b-2c)(a-b+2c)
\(3a^2-6ab-3b^2-12c^2=3\left(a^2-2ab+b^2\right)-12c^2=\left(\sqrt{3}\left(a-b\right)\right)^2-\left(\sqrt{12}c\right)^2=\left(\sqrt{3}a-\sqrt{3}b-\sqrt{12}c\right)\left(\sqrt{3}a-\sqrt{3}b+\sqrt{12}c\right)\)
Sửa đề :\(3a^2-6ab+3b^2-12c^2\)=\(3\left(a^2-2ab+b^2-4c^2\right)\)
=\(3\left(a-b\right)^2-3\left(2c\right)^2\)=\(3\left(a-b-c\right)\left(a-b+c\right)\)
3a2 - 6ab + 3b2 - 12c2
= 3a2 - 3a x 2b + 3b2 - 3 x 4c2
= 3(a2 -a x b +b2 - 4c2)
\(A=3a^2c^2+bd+3abc+acd=\left(3a^2c^2+3abc\right)+\left(bd+acd\right)=3ac\left(ac+b\right)+d\left(b+ac\right)\\ =\left(3ac+d\right)\left(ac+b\right)\)
\(B=a^2c-a^2d-b^2d+b^2c=a^2\left(c-d\right)-b^2\left(c-d\right)=\left(a^2-b^2\right)\left(c-d\right)\\=\left(a-b\right)\left(a+b\right)\left(c-d\right)\)
\(C=8x^2+4xy-2ax-ay=\left(8x^2+4xy\right)-\left(2ax+ay\right)=4x\left(2x+y\right)-a\left(2x+y\right)\\ =\left(4x-a\right)\left(2x+y\right)\)
\(E=3a^2-6ab+3b^2-12c^2=3\left(a^2-2ab+b^2\right)-12c^2=3\left(a-b\right)^2-12c^2\\ =3\left[\left(a-b\right)^2-4c^2\right]=3\left(a-b-2c\right)\left(a-b+2c\right)\)
\(3a^2-6ab+3b^2-12c^2=3\left(a^2-2ab+b^2-4c^2\right)=3\left[\left(a-b\right)^2-\left(2c\right)^2\right]=3\left(a-b-2c\right)\left(a-b+2c\right)\)