Question

(2x+2) al cuadrado, binomios al cuadrado, ayuda!!

Answer 1

Expanding the binomial
`\((2x + 2)^2\) yields \(4x^2 + 8x + 4\).` This result comes from applying the square of a binomial formula:
`\(a^2 + 2ab + b^2\).`

Certainly! To expand the binomial
`\((2x + 2)^2\)`, you can use the formula for squaring a binomial:
`\((a + b)^2 = a^2 + 2ab + b^2\).` Apply this to
`\(2x + 2\):`

`\[(2x + 2)^2 = (2x)^2 + 2(2x)(2) + (2)^2\]`

Simplify each term:

`\[= 4x^2 + 8x + 4\]`

So,
`\((2x + 2)^2\)` expands to
`\(4x^2 + 8x + 4\)`. This represents the result of multiplying
`\((2x + 2)\)` by itself. The first term
`\(4x^2\)` arises from squaring the
`\(2x\)`, the middle term
`\(8x\)` comes from doubling the product of
`\(2x\) and \(2\),` and the last term
`\(4\)` is the square of
`\(2\).`This expansion is useful in various algebraic manipulations and simplifications, providing a concise expression for the squared binomial.