What is factor 49a^2b^2-14ab+1 ?

The solution to factor 49a^2b^2-14ab+1 is (7ab-1)^2

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factor 49a^2b^2-14ab+1

factor

49 a^{2} b^{2} - 14 ab + 1

(7 ab - 1)^{2}

Solution steps

49 a^{2} b^{2} - 14 ab + 1

Rewrite in the form of

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

49 a^{2} b^{2} = (7 ab)^{2}

1 = 1^{2}

- 14 ab = - 2 \cdot 7 ab \cdot 1

= (7 ab)^{2} - 2 \cdot 7 ab \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

(7 ab)^{2} - 2 \cdot 7 ab \cdot 1 + 1^{2} = (7 ab - 1)^{2}

= (7 ab - 1)^{2}

- t^{5} + t^{3}

\frac{0}{7}

x \to \infty lim (e^{x})

\frac{2 i}{- 4 - 8 i}

121 m^{2} - 100 n^{2}

What is factor 49a^2b^2-14ab+1 ?
The solution to factor 49a^2b^2-14ab+1 is (7ab-1)^2