What is factor 36+121c^2-132c ?

The solution to factor 36+121c^2-132c is (11c-6)^2

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factor 36+121c^2-132c

factor

36 + 121 c^{2} - 132 c

(11 c - 6)^{2}

Solution steps

36 + 121 c^{2} - 132 c

Write in the standard form

= 121 c^{2} - 132 c + 36

Rewrite in the form of

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

121 c^{2} = (11 c)^{2}

36 = 6^{2}

- 132 c = - 2 \cdot 11 c \cdot 6

= (11 c)^{2} - 2 \cdot 11 c \cdot 6 + 6^{2}

Apply Perfect Square Formula:

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

(11 c)^{2} - 2 \cdot 11 c \cdot 6 + 6^{2} = (11 c - 6)^{2}

= (11 c - 6)^{2}

x^{4} - 4 x^{2} - 45

12 x - 9 x^{2} = - 3

4 (x - 6) = 12

(\frac{x}{y})^{6}

- \frac{2 ( 1 ) ( 2 )}{( 2 ) ^{2} + 4}

What is factor 36+121c^2-132c ?
The solution to factor 36+121c^2-132c is (11c-6)^2