What is factor x^2+24x+144 ?

The solution to factor x^2+24x+144 is (x+12)^2

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factor x^2+24x+144

factor

x^{2} + 24 x + 144

(x + 12)^{2}

Solution steps

x^{2} + 24 x + 144

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

144 = 1 2^{2}

24 x = 2 x \cdot 12

= x^{2} + 2 x \cdot 12 + 1 2^{2}

Apply Perfect Square Formula:

a^{2} + 2 ab + b^{2} = (a + b)^{2}

x^{2} + 2 x \cdot 12 + 1 2^{2} = (x + 12)^{2}

= (x + 12)^{2}

\frac{2}{5} + \frac{1}{5}

x^{2} + 39 x - 40

(2 x + 1) \cdot (- 3 x + 5) \geq 0

\frac{1}{4} + 4

6 x^{2} - 13 x - 6 = 0