What is factor 4x^2-44x+121 ?

The solution to factor 4x^2-44x+121 is (2x-11)^2

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factor 4x^2-44x+121

factor

4 x^{2} - 44 x + 121

(2 x - 11)^{2}

Solution steps

4 x^{2} - 44 x + 121

Rewrite in the form of

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

4 x^{2} = (2 x)^{2}

121 = 1 1^{2}

- 44 x = - 2 \cdot 2 x \cdot 11

= (2 x)^{2} - 2 \cdot 2 x \cdot 11 + 1 1^{2}

Apply Perfect Square Formula:

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

(2 x)^{2} - 2 \cdot 2 x \cdot 11 + 1 1^{2} = (2 x - 11)^{2}

= (2 x - 11)^{2}

\frac{7}{8} - \frac{11}{24}

- \frac{2}{3} - \frac{1}{6}

\frac{( - 1 ) ^{3 - 1}}{3 ^{2}}

1.5 7^{2}

7 z + 5 - 3 z