Question

Разложить на множители а^2+4a+4 помогите пожалуйста

Answer 1

A^2+4a+4=(а+2)^2                                                            

Answer 2

Factoring the Expression a^2 + 4a + 4

To factor the expression a^2 + 4a + 4, we can use the quadratic formula. The quadratic formula states that for an expression of the form ax^2 + bx + c, the roots are given by x = (-b ± √(b^2 - 4ac)) / (2a). In this case, a = 1, b = 4, and c = 4.

Using the quadratic formula, we can calculate the roots of the expression:

x = (-4 ± √(4^2 - 4*1*4)) / (2*1) = (-4 ± √(16 - 16)) / 2 = (-4 ± √0) / 2 = (-4 ± 0) / 2 = -4 / 2 = -2

So, the roots of the expression are both -2.

Therefore, the factored form of the expression a^2 + 4a + 4 is (a + 2)(a + 2) or (a + 2)^2.

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