Question

Binomio al cuadrado
1. (X+2) 2 = ____________________________
2. (6a+b) 2 = ___________________________

3. (4ab 2 +5xy 3 ) 2 = _______________________

4. (2/5cd 3 +2/3yz 2 ) 2 = _______________________
5. (a x + b x+1 ) 2 = ________________________
6. (a-3) 2 . = ______________________________
7. (9-a) 2 . = ______________________________
8. (2a-3b) 2 . = ____________________________
9. (4ax-1) 2 . = ____________________________
10. (10x 3 -9xy 5 ) 2 . = _________________________

Answer 1

Explicación paso a paso:

Formula de binomio al  cuadrado:

(a ± b)² = a² ± 2ab + b²

Resolvamos:

1.

(x+2)² = (x)² + 2(x)(2) + (2)²

(x+2)² = x²+4x+4

2.

(6a+b)² = (6a)² + 2(6a)(b) + (b)²

(6a+b)² = 36a²+12ab+b²

3.

(4ab²+5xy³)² = (4ab²)² + 2(4ab²)(5xy³) + (5xy³)²

(4ab²+5xy³)² = 16a²b⁴+40ab²xy³+25x²y⁶

4.

(2/5cd³+2/3yz²)² = (2/5cd³)² + 2(2/5cd³)(2/3yz²) + (2/3yz²)²

(2/5cd³+2/3yz²)² = 4/25c²d⁶+8/15cd³yz²+4/9y²z⁴

5.

(aˣ+bˣ⁺¹)² = (aˣ)² + 2(aˣ)(bˣ⁺¹) + (bˣ⁺¹)²

(aˣ+bˣ⁺¹)² = a²ˣ+2aˣbˣ⁺¹+b²ˣ⁺²

6.

(a-3)² = (a)² - 2(a)(3) + (3)²

(a-3)² = a²-6a+9

7.

(9-a)² = (9)² - 2(9)(a) + (a)²

(9-a)² = 81-18a+a²

8.

(2a-3b)² = (2a)² - 2(2a)(3b) + (3b)²

(2a-3b)² = 4a²-12ab+9b²

9.

(4ax-1)² = (4ax)² - 2(4ax)(1) + (1)²

(4ax-1)² = 16a²x²-8ax+1

10.

(10x³-9xy⁵)² = (10x³)² - 2(10x³)(9xy⁵) + (9xy⁵)²

(10x³-9xy⁵)² = 100x⁶-180x⁴y⁵+81x²y¹⁰