Question

Agrupación de términos: 1)2m²n+2m²+n+1 2)ax+bx-cx+ay+by-cy 3)bm²+bn²+am²+an² 4)x²m²+x²t²+y²m²+y²t² 5)ax-ay-cx+cy+bx-by Ayudaaa porfavor ;(

Answer 1

Respuesta:

1) 2m²n + 2m² + n + 1

= (2m²n + 2m²) + (n + 1)

= 2m² · (n + 1) + 1 · (n + 1)

= (n + 1) · (2m² + 1)

2) ax + bx - cx + ay + by - cy

= (ax + bx - cx) + (ay + by - cy)

=  x · (a + b - c) + y · (a + b - c)

= (a + b - c) · (x + y)

3) bm² + bn² + am² + an²

= (bm² + bn²) + (am² + an²)

= b · (m² + n²) + a · (m² + n²)

= (m² + n²) · (b + a)

4) x²m² + x²t² + y²m² + y²t²

= (x²m² + x²t²) + (y²m² + y²t²)

= x² · (m² + t²) + y² · (m² + t²)

= (m² + t²) · (x² + y²)

5) ax - ay - cx + cy + bx - by

= (ax - ay) + (-cx + cy) + (bx - by)

= a · (x - y) - c · (x - y) + b · (x - y)

= (x - y) · (a - c + b)