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\(\left(2a+3\right)\left(2a+3\right)y+\left(2a+3\right)\)
\(=\left(2a+3\right)[y\left(2a+3\right)+1]\)
\(=\left(2a+3\right)\left(2ay+3y+1\right)\)
\(\left(a-b\right)x+\left(b-a\right)y-\left(a-b\right)\) (Sửa đề)
\(=\left(a-b\right)x-\left(a-b\right)y-\left(a-b\right)\)
\(=\left(a-b\right)\left(x-y-1\right)\)
\(a,\left(2a+3\right)x-\left(2a+3\right)y+\left(2a+3\right)\)
\(=\left(2a+3\right)\left(x-y+1\right)\)
\(b,\left(4x-y\right)\left(a-1\right)-\left(y-4x\right)\left(b-1\right)+\left(4x-y\right)\left(1-c\right)\)
\(=\left(4x-y\right)\left(a-1\right)+\left(4x-y\right)\left(b-1\right)+\left(4x-y\right)\left(1-c\right)\)
\(=\left(4x-y\right)\left(a-1+b-1+1-c\right)\)
\(=\left(4x-y\right)\left(a+b-c-1\right)\)
\(c,x^k+1-x^k-1\)
\(=0?!?!\)
\(d,x^m+3-x^m+1\)
\(=4\)
\(e,3\left(x-y\right)^3-2\left(x-y\right)^2\)
\(=\left(x-y\right)^2\left(3\left(x-y\right)-2\right)\)
\(=\left(x-y\right)^2\left(3x-3y-2\right)\)
\(f,81a^2+18a+1\)
\(=\left(9a\right)^2+2.9a+1\)
\(=\left(9a+1\right)^2\)
\(g,25a^2.b^2-16c^2\)
\(=\left(5ab\right)^2-\left(4c\right)^2\)
\(=\left(5ab+4c\right)\left(5ab-4c\right)\)
\(h,\left(a-b\right)^2-2\left(a-b\right)c+c^2\)
\(=\left(a-b-c\right)^2\)
\(i,\left(ax+by\right)^2-\left(ax-by\right)^2\)
\(=\left(ax+by-ax+by\right)\left(ax+by+ax-by\right)\)
\(=2by.2ax\)
\(=4axby\)
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câu nào mình biết mình trl trc nha:
\(\left(x^2+1\right)^2-4x^2\)
\(=x^4+2x^2+1-4x^2\)
\(=x^4-2x^2+1\)
\(\left(x^2-1\right)^2\)
b)4x^2y^2-(x^2+y^2)^2
=(2xy)2-(x2+y2)2
=[2xy-(x2+y2)][2xy+(x2+y2)]
=(2xy-x2-y2)(2xy+x2+y2)
=-(-2xy+x2+y2)(x+y)2
=-(x-y)2(x+y)2
c) x^2+2x-3
=x2-x+3x-3
=x(x-1)+3(x-1)
=(x-1)(x+3)
d) 2a^3-54b^3
=2(a3-27b3)
=2[a3-(3b)3]
=2(a-3b)(a2+3ab+9b2)
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