What is factor x^2-14xy+49y^2 ?

The solution to factor x^2-14xy+49y^2 is (x-7y)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^2-14xy+49y^2

factor

x^{2} - 14 x y + 49 y^{2}

(x - 7 y)^{2}

Solution steps

x^{2} - 14 x y + 49 y^{2}

Rewrite in the form of

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

49 y^{2} = (7 y)^{2}

- 14 x y = - 2 x \cdot 7 y

= x^{2} - 2 x \cdot 7 y + (7 y)^{2}

Apply Perfect Square Formula:

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

x^{2} - 2 x \cdot 7 y + (7 y)^{2} = (x - 7 y)^{2}

= (x - 7 y)^{2}

12 (12)

- 3 + 7 (a - 3 b - 1) - 4 (10 - a + 2 b)

- 2 (5 x - 3)

16 i^{4} - 8 i^{2} + 4

8 y (x - 2 y) - (x - 2 y)

What is factor x^2-14xy+49y^2 ?
The solution to factor x^2-14xy+49y^2 is (x-7y)^2