What is factor 49x^4+61x^2y^2+25y^4 ?

The solution to factor 49x^4+61x^2y^2+25y^4 is (7x^2+5y^2+3xy)(7x^2+5y^2-3xy)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 49x^4+61x^2y^2+25y^4

factor

49 x^{4} + 61 x^{2} y^{2} + 25 y^{4}

(7 x^{2} + 5 y^{2} + 3 x y) (7 x^{2} + 5 y^{2} - 3 x y)

Solution steps

49 x^{4} + 61 x^{2} y^{2} + 25 y^{4}

Add and subtract

9 x^{2} y^{2}

= 49 x^{4} + 70 x^{2} y^{2} + 25 y^{4} - 9 x^{2} y^{2}

Factor

49 x^{4} + 70 x^{2} y^{2} + 25 y^{4} : (7 x^{2} + 5 y^{2})^{2}

= (7 x^{2} + 5 y^{2})^{2} - 9 x^{2} y^{2}

Apply exponent rules

= (7 x^{2} + 5 y^{2})^{2} - (3 x y)^{2}

Factor

(7 x^{2} + 5 y^{2})^{2} - (3 x y)^{2} : (7 x^{2} + 5 y^{2} + 3 x y) (7 x^{2} + 5 y^{2} - 3 x y)

= (7 x^{2} + 5 y^{2} + 3 x y) (7 x^{2} + 5 y^{2} - 3 x y)

\frac{v ^{4} + 4 v ^{2} + 4}{4 - v ^{4}}

x - 8 + 8 + 2

3 (4 k + 2 h)

3 x \cdot 8 x^{3}

10 n^{2} - n - 2

What is factor 49x^4+61x^2y^2+25y^4 ?
The solution to factor 49x^4+61x^2y^2+25y^4 is (7x^2+5y^2+3xy)(7x^2+5y^2-3xy)