(X-y-4)2-(2x+3y-1)2
=(X-Y-4-2X-3Y+1)(X-Y-4+2X+3Y-1)=(-X-4Y-3)(X+2Y-5)
(2x2+1)2+6(2x2+1)+9
=(2X2+1+3)2 (dùng hằng đẳng thức a2 +2ab+b2 =(a+b)2
=(2x2+4)2=(2(x2+2))2=4(x2+2)2
\(a,\left(x-y-4\right)^2-\left(2x+3y-1\right)^2\)
\(=\left(3x-2y-5\right)\left(-x-4y-3\right)\)
\(b,\left(2x^2+1\right)^2+6\left(2x^2+1\right)+9\)
\(=\left(2x^2+4\right)^2\)
Ta có : \(\left(x-y-4\right)^2\) \(-\left(2x+3y-1\right)^2\) \(=\left(x-y-4-2x-3y+1\right)\left(x-y-4+2x+3y-1\right)\)
\(=\left(-x-4y-3\right)\left(3x+2y-5\right)\)
Ta có : \(\left(2x^2+1\right)^2+6\left(2x^2+1\right)+9\)\(=\left(2x^2+1\right)^2+2.\left(2x^2+1\right).3+3^2\)
\(=\left(2x^2+1+3\right)^2=\left(2x^2+4\right)^2\)
