Bài 2:
\(A=\left(x-3y\right)\left(x+3y\right)=\left(19-3\cdot1\right)\left(19+3\cdot1\right)=16\cdot23=368\)
\(B=\left(x-2y\right)\left(x+2y\right)=\left(2+2\right)\left(2-2\right)=0\)
\(C=\left(3x-y\right)^2=\left(3\cdot3-2\right)^2=7^2=49\)
DẠNG 3
BÀI 1
1) \(2x\left(x-6\right)-x+6=0\)
\(2x\left(x-6\right)-\left(x-6\right)=0\)
\(\left(x-6\right)\left(2x-1\right)=0\)
\(x-6=0\) hoặc \(2x-1=0\)
*) \(x-6=0\)
\(x=6\)
*) \(2x-1=0\)
\(2x=1\)
\(x=\dfrac{1}{2}\)
Vậy \(x=6;x=\dfrac{1}{2}\)
2) \(13x^2-5x=0\)
\(x\left(13x-5\right)=0\)
\(x=0\) hoặc \(13x-5=0\)
*) \(13x-5=0\)
\(13x=5\)
\(x=\dfrac{5}{13}\)
Vậy \(x=0;x=\dfrac{5}{13}\)
3) \(4x^2-25=0\)
\(\left(2x-5\right)\left(2x+5\right)=0\)
\(2x-5=0\) hoặc \(2x+5=0\)
*) \(2x-5=0\)
\(2x=5\)
\(x=\dfrac{5}{2}\)
*) \(2x+5=0\)
\(2x=-5\)
\(x=-\dfrac{5}{2}\)
Vậy \(x=-\dfrac{5}{2};x=\dfrac{5}{2}\)
4) \(4x^2-16x=0\)
\(4x\left(x-4\right)=0\)
\(4x=0\) hoặc \(x-4=0\)
*) \(4x=0\)
\(x=0\)
*) \(x-4=0\)
\(x=4\)
Vậy \(x=0;x=4\)