Question

Productos notables. Gracias 1. (m + 3)² 2. (5 + x)² 3. (6a + b)² 4. (9 + 4m)² 5. (7x + 11)² 6. (x + y)² 7. (1 + 3x²)² 8. (2x + 3y)² 9. (a²x + by²)² 10. (3a³ + 8b⁴)²

Answer 1

Respuesta:

1. (m + 3)² $m^{2} +3^{2} +2(m)(3)=m^{2} +9+6m$

2. (5 + x)²=$5^{2} +x^{2} +2(5)(x)=25+x^{2} +10x$

3. (6a + b)² =$6a^{2} +b^{2} +2(6a)(b)=6a^{2} +b^{2} +12ab$

4. (9 + 4m)² =$9^{2} +4m^{2} +2(9)(4m)=81+4m^{2} +72m$

5. (7x + 11)² =$7x^{2} +11^{2} +2(7x)(11)=7x^{2} +121+154x$

6. (x + y)² $= x^{2} +y^{2} +2xy$

7. (1 + 3x²)² =$1^{2} +(3x^{2})^{2} +2(1)(3x^{2} )=1+3x^{4} +6x^{2}$

8. (2x + 3y)² = $2x^{2}+3y^{2}+2(2x)(3y)=2x^{2} +3y^{2} +12xy$

9. (a²x + by²)²

10. (3a³ + 8b⁴)²

Explicación paso a paso:

Answer 2

Respuesta:

Tema: productos notables

Explicación paso a paso:

1. (m + 3)² m^2+3^2+2(m)(3)=m^2+9+6m

2. (5 + x)²=5^2+x^2 +2(5)(x)=25+x^2+10x

3. (6a + b)² =6a^2 +b^2+2(6a)(b)=6a^2+b^2+12ab

4. (9 + 4m)² =9^2 +4m^2 +2(9)(4m)=81+4m^2 +72m

5. (7x + 11)² =7x^2 +11^2+2(7x)(11)=7x^2+121+154x

6. (x + y)² = x^2+y^2+2xy

7. (1 + 3x²)² =1^2 +(3x^2)^2+2(1)(3x^2)=1+3x^4+6x^2

8. (2x + 3y)² = 2x^2+3y^2+2(2x)(3y)=2x^2 +3y^2 +12xy

9. (a²x + by²)²= (a^2x)^2+2a^2x+y^2+(by^2)^2

=a^4x^2+2a^2bxy^2+b^2y^4

10. (3a³ + 8b⁴)²= 9a^6 +48a^3b^4+64b^8