Question

Resolver cada ejercicio con el producto notable que corresponda:


1. (2x+2y)²
2. (x-10)²
3. (ax+5y)²
4. (2x-y)²
5. (x⁴-1)²
6. (2a-1)(1+2a)
7. (y²-3y)(y²+3y)
8. (a+2)³
9. (4x-6)³
10. (x+3)(x+8)
11. (x-2)³
12.(3+y²)³

me ayudan plis es para hoy

Answer 1

Respuesta:

Explicación paso a paso:

1. (2x+2y)²

(2x)² + 2(2x)(2y) + (2y)²

4x² + 8xy + 4y²

2. (x-10)²

x² + 2(x)(10) + (10)²

x² + 20x + 100

3. (ax+5y)²

ax² + 2(ax)(5y) + (5y)²

ax² + 10axy + 25y²

4. (2x-y)²

(2x)² - 2(2x)(y) + y²

4x² - 4xy + y²

5. (x⁴-1)²

(x⁴)² - 2(x⁴)(1) + (1)²

x⁶ - 2x⁴ + 1

6. (2a-1)(1+2a)

2a - 1

2a + 1

4a² + 2a

         2a - 1

4a² + 4a - 1

7. (y²-3y)(y²+3y)

y² - 3y

y² + 3y

y⁴ - 3y³

   + 3y³ - 9y²

y⁴    //    - 9y²

8. (a+2)³

a³ + 3(a)²(2) + 3(a)(2)² + (2)³

a³ + 6a³ + 12a² + 8

9. (4x-6)³

(4x)³ - 3(4x)²(6) + 3(4x)(6)² - (6)³

64x³ - 3(16x²)(6) + 12x(36) - 216

64x³ - 288x² + 432x - 216

10. (x+3)(x+8)

x + 3

x + 8

x² + 3x

   + 8x + 24

x² + 11x + 24

11. (x-2)³

x³ - 3(x)²(2) + 3(x)(2)² - (2)³

x³ - 6x² + 12x - 8

12.(3+y²)³

(3)³ + 3(3)²(y²) + 3(3)(y²)² + (y²)³

27 + 27y² + 9y⁴ + y⁶