\(x^2+3x-10\)
\(=x^2+5x-2x-10\)
\(=\left(x^2+5x\right)-\left(2x+10\right)\)
\(=x\left(x+5\right)-2\left(x+5\right)\)
\(=\left(x-2\right)\left(x+5\right)\)
Thích hđt thì chiều :))
x2 + 3x - 10
= ( x2 + 3x + 9/4 ) - 49/4
= ( x + 3/2 )2 - ( 7/2 )2
= ( x + 3/2 - 7/2 )( x + 3/2 + 7/2 )
= ( x - 2 )( x + 5 )
\(x^2+3x-10\)
\(=x^2+2\cdot x\cdot\frac{3}{2}+\left(\frac{3}{2}\right)^2-10-\left(\frac{3}{2}\right)^2\)
\(=\left(x+\frac{3}{2}\right)^2-\frac{49}{4}\)
\(=\left(x+\frac{3}{2}\right)^2-\left(\frac{7}{2}\right)^2\)
\(=\left(x+\frac{3}{2}-\frac{7}{2}\right)\cdot\left(x+\frac{3}{2}+\frac{7}{2}\right)\)
\(=\left(x+5\right)\cdot\left(x-2\right)\)