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

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

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factor y^2+24y+144

factor

y^{2} + 24 y + 144

(y + 12)^{2}

Solution steps

y^{2} + 24 y + 144

Rewrite in the form of

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

144 = 1 2^{2}

24 y = 2 y \cdot 12

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

Apply Perfect Square Formula:

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

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

= (y + 12)^{2}

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