1. (x - y) (x + y) = x2 + y2 (V) (F) 2. (2x - 3) (2x + 4) = 4x2 + x + 12 (V) (F) 3. (yx - 1) (yx + 3) = y2x 2 + 2yx – 3 (V) (F) 4. (3x2 + y) (3x2 - y) = 9x4 – y 2 (V) (F) 5. ( 5 y - 2) ( 5 y + 5) = 5y + 3 5 y – 10 (V) (F) 6. (x - 2) (x + 3) = x2 – x – 6 (V) (F) 7. (y + 1) (y - 2) = y2 – y + 2 (V) (F) 8. (2y + 3) (2y - 1) = 4y2 + 4y – 3 (V) (F) 9. (3x3 - 1) (3x3 + 2) = 9x6 + 3x3 – 2 (V) (F) con desarrollo AYUDAAAAAAAAA
Respuestas a la pregunta
Respuesta:
Explicación paso a paso:
1. (x - y) (x + y) = x2 + y2 (V) (F)
=(x+−y)(x+y)
=(x)(x)+(x)(y)+(−y)(x)+(−y)(y)
=x2+xy−xy−y2
=x2−y2
2. (2x - 3) (2x + 4) = 4x2 + x + 12 (V) (F)
=(2x+−3)(2x+4)
=(2x)(2x)+(2x)(4)+(−3)(2x)+(−3)(4)
=4x2+8x−6x−12
=4x2+2x−12
3. (yx - 1) (yx + 3) = y2x 2 + 2yx – 3 (V) (F)
=(yx+−1)(yx+3)
=(yx)(yx)+(yx)(3)+(−1)(yx)+(−1)(3)
=x2y2+3xy−xy−3
=x2y2+2xy−3
4. (3x2 + y) (3x2 - y) = 9x4 – y 2 (V) (F)
=(3x2+y)(3x2+−y)
=(3x2)(3x2)+(3x2)(−y)+(y)(3x2)+(y)(−y)
=9x4−3x2y+3x2y−y2
=9x4−y2
5. ( 5 y - 2) ( 5 y + 5) = 5y + 3 5 y – 10 (V) (F)
=(5y+−2)(5y+5)
=(5y)(5y)+(5y)(5)+(−2)(5y)+(−2)(5)
=25y2+25y−10y−10
=25y2+15y−10
6. (x - 2) (x + 3) = x2 – x – 6 (V) (F)
=(x+−2)(x+3)
=(x)(x)+(x)(3)+(−2)(x)+(−2)(3)
=x2+3x−2x−6
=x2+x−6
7. (y + 1) (y - 2) = y2 – y + 2 (V) (F)
=(y+1)(y+−2)
=(y)(y)+(y)(−2)+(1)(y)+(1)(−2)
=y2−2y+y−2
=y2−y−2
8. (2y + 3) (2y - 1) = 4y2 + 4y – 3 (V) (F)
=(2y+3)(2y+−1)
=(2y)(2y)+(2y)(−1)+(3)(2y)+(3)(−1)
=4y2−2y+6y−3
=4y2+4y−3
9. (3x3 - 1) (3x3 + 2) = 9x6 + 3x3 – 2 (V) (F)
=(3x3+−1)(3x3+2)
=(3x3)(3x3)+(3x3)(2)+(−1)(3x3)+(−1)(2)
=9x6+6x3−3x3−2