\(a,4x^2-1\)
\(=\left(2x\right)^2-1^2\)
\(=\left(2x-1\right)\left(2x+1\right)\)
\(b,25x^2-0,09\)
\(=\left(5x\right)^2-\left(0,3\right)^2\)
\(=\left(5x-0,3\right)\left(5x+0,3\right)\)
\(d,\left(x-y\right)^2-4\)
\(=\left(x-y\right)^2-2^2\)
\(=\left(x-y-2\right)\left(x-y+2\right)\)
\(e,9-\left(x-y\right)^2\)
\(=3^2-\left(x-y\right)^2\)
\(=\left[3-\left(x-y\right)\right]\left[3+\left(x-y\right)\right]\)
\(=\left(3-x+y\right)\left(3+x-y\right)\)
\(=\left(-x+y+3\right)\left(x-y+3\right)\)
\(f,\left(x^2+4\right)^2-16x^2\)
\(=\left(x^2+4\right)^2-\left(4x\right)^2\)
\(=\left(x^2+4-4x\right)\left(x^2+4+4x\right)\)
\(=\left(x^2-2\cdot x\cdot2+2^2\right)\left(x^2+2\cdot x\cdot2+2^2\right)\)
\(=\left(x-2\right)^2\left(x+2\right)^2\)
#\(Toru\)
`#3107`
a)
`4x^2 - 1`
`= (2x)^2 - 1^2`
`= (2x - 1)(2x + 1)`
b)
`25x^2 - 0,09`
`= (5x)^2 - (0,3)^2`
`= (5x - 0,3)(5x + 0,3)`
d)
`(x - y)^2 - 4`
`= (x - y)^2 - 2^2`
`= (x - y - 2)(x - y + 2)`
e)
`9 - (x - y)^2`
`= 3^2 - (x - y)^2`
`= (3 - x + y)(3 + x - y)`
f)
`(x^2 + 4)^2 - 16x^2`
`= (x^2 + 4)^2 - (4x)^2`
`= (x^2 - 4x + 4)(x^2 + 4x + 4)`
`= (x - 2)^2 * (x + 2)^2`
_____
Tất cả các câu trên bạn sử dụng hđt:
`A^2 - B^2 = (A - B)(A + B)`
\(#MaiChangLaAnhDau..\)
