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x2−6x−y2+9=(x2−6x+9)−y2a,x2−6x−y2+9=(x2−6x+9)−y2
=(x−3)2−y2=(x−y−3)(x+y−3)
Chúc bạn học tốt nhé : ##Liz
x2 - 6x + 9 - y2
= ( x - 3 )2 - y2
= ( x - 3 - y )( x - 3 + y )
hk tốt
\(a^3+b^3+c^3-3abc\)
\(=\left(a+b\right)^3+c^3-3ab\left(a+b\right)-3abc\)
\(=\left(a+b+c\right)^3-3c\left(a+b\right)\left(a+b+c\right)-3ab\left(a+b+c\right)\)
\(=\left(a+b+c\right)\left[\left(a+b+c\right)^2-3ac-3bc-3ab\right]\)
\(=\left(a+b+c\right)\left(a^2+b^2+c^2+2ac+2bc+2ab-3ac-3bc-3ab\right)\)
\(=\left(a+b+c\right)\left(a^2+b^2+c^2-ab-ac-bc\right)\)
\(x^2-6x+9=\left(x-3\right)^2\)
\(4x^2-36=\left(2x-6\right)\left(2x+6\right)\)
\(8-x^3=\left(2-x\right)\left(4+2x+x^2\right)\)
Đề bạn ghi hơi khó hiểu~
4a2=4b2-4a+1
=(2a)2-2*2a*1+12-4b2= (2a-1)2-(2b)2(2a-1-2b)(2a-1+2b)
\(a\left(a+2b\right)^3-b\left(2a+b\right)^3\)
\(=a\left(a^3+6a^2b+12ab^2+8b^3\right)-b\left(8a^3+12a^2b+6ab^2+b^3\right)\)
\(=a^4+6a^3b+12a^2b^2+8ab^3-8a^3b-12a^2b^2-6ab^3-b^4\)
\(=a^4-b^4-2ab\left(a^2-b^2\right)\)
\(=\left(a^2-b^2\right)\left(a^2+b^2\right)-2ab\left(a^2-b^2\right)\)
\(=\left(a^2-b^2\right)\left(a^2+b^2-2ab\right)=\left(a+b\right)\left(a-b\right)\left(a-b\right)^2\)
\(=\left(a+b\right)\left(a-b\right)^3\)
a, x^2 - x - y^2 - y
= (x^2 - y^2) - ( x+ y)
= ( x- y)(x+y) - ( x+y )
= ( x - y - 1 )(x+ y)
b, x^2+ 6x + 9 - y^2
= ( x+ 3)^2 - y^2
= ( x+ 3 -y)( x + 3 +y)
\(a^2-6x-4b^2+9=\left(a-3\right)^2-4b^2\\ =\left(a-3-2b\right)\left(a-3+2b\right)\)