Question

desarrollar los siguientes cuadrados de binomios:
1. (x+2)²
2.(2x-3)²
3.(a²- 1/2)²
4.(a²+b)²
5.(x- 2y)²

Ayuda!

Answer 1

1.(x+2)(x+2)

x²+2x+2x+4

x²+4x+4

2.(2x-3)(2x-3)

4x²-6x-6x+9

4x²-12x-9

3.(a²-1/2)(a²-1/2)

a4-a²1/2-a²1/2+1/4

a4-a²2/4+1/4

4.(a²+b)(a²+b)

a4+a²b+a²b+b²

a4+2a²b+b²

5.(x+2y)(x+2y)

x²+2xy+2xy+4y²

x²+4xy+4y²

Answer 2

1.-

${(x + 2)}^{2} \\ {x}^{2} + 4x + {2}^{2} \\ {x}^{2} \: + 4x + 4$


2.-
${(2x - 3)}^{2} \\ {(2x)}^{2} - 12x + {3}^{2} \\ {4x}^{2} - 12x + 9$


3.-
${(a - \frac{1}{2} )}^{2} \\ {a}^{2} - 2( \frac{1}{2} )(a) + ( \frac{1}{2} )^{2} \\ {a}^{2} - a + \frac{1}{4}$


4.-

$( { {a}^{2} + b })^{2} \\ ( {a}^{2})^{2} + 2( {a}^{2} )(b) + {b}^{2} \\ {a}^{4} + 2 {a}^{2} b + {b}^{2}$


5.-

$( {x - 2y}^{2} ) \\ {x}^{2} - 2(x)( {2y}^{2} ) + ({2y}^{2} )^{2} \\ {x}^{2} - 4x {y}^{2} + {4y}^{4}$