Question

factorizar las siguientes diferencias de cuadros.

1.m²–9n²

2.16x²–36x²

3.25–a²x²

4.2x–8xy²

5.49–y²​

Answer 1

Respuesta:

$1. \: m {}^{2} - 9 n {}^{2} = (m - 3n) {}^{2}$

$m {}^{2} - 6mn + 9n {}^{2}$

$2. \: 16x {}^{2} - 36x {}^{2} = (4x - 6x) {}^{2}$

$16x {}^{2} - 48 {x}^{2} + 36 {x}^{2}$

$3. \: 25 - a {}^{2} {x}^{2} = (5 - ax) {}^{2}$

$25 - 10ax + {a}^{2} {x}^{2}$

$4. \: 2x - 8 x {y}^{2}$

$2x(1 - 4 {y}^{2} )=2x(1 - 2y) {}^{2}$

$2x(1 - 4y + 4 {y}^{2} )$

$5. \: 49 - {y}^{2} = (7 - y) {}^{2}$

$49 - 14y + {y}^{2}$