Question

1. (ab + 2)(ab – 2)
2. (x + y)(x – y)

5. (xy + 3)(xy – 3)
6. (2x + y)(2x – y)

9. (rs + 2t)(rs – t)
10.(3x + 2y)(3x – 2y)

Answer 1

Respuesta:

espero te ayude

Explicación paso a paso:

1.

=(ab+2)(ab+−2)

=(ab)(ab)+(ab)(−2)+(2)(ab)+(2)(−2)

=a2b2−2ab+2ab−4

=a2b2−4

2.

=(x+y)(x+−y)

=(x)(x)+(x)(−y)+(y)(x)+(y)(−y)

=x2−xy+xy−y2

=x2−y2

5.

=(xy+3)(xy+−3)

=(xy)(xy)+(xy)(−3)+(3)(xy)+(3)(−3)

=x2y2−3xy+3xy−9

=x2y2−9

6.

=(2x+y)(2x+−y)

=(2x)(2x)+(2x)(−y)+(y)(2x)+(y)(−y)

=4x2−2xy+2xy−y2

=4x2−y2

9.

=(rs+2t)(rs+−t)

=(rs)(rs)+(rs)(−t)+(2t)(rs)+(2t)(−t)

=r2s2−rst+2rst−2t2

=r2s2+rst−2t2

10.

=(3x+2y)(3x+−2y)

=(3x)(3x)+(3x)(−2y)+(2y)(3x)+(2y)(−2y)

=9x2−6xy+6xy−4y2

=9x2−4y2