What is factor 4a^4-25a^2*b^2+36b^4 ?

The solution to factor 4a^4-25a^2*b^2+36b^4 is (2a+3b)(2a-3b)(a+2b)(a-2b)

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factor 4a^4-25a^2*b^2+36b^4

factor

4 a^{4} - 25 a^{2} \cdot b^{2} + 36 b^{4}

(2 a + 3 b) (2 a - 3 b) (a + 2 b) (a - 2 b)

Solution steps

4 a^{4} - 25 a^{2} b^{2} + 36 b^{4}

Break the expression into groups

= (4 a^{4} - 9 a^{2} b^{2}) + (- 16 a^{2} b^{2} + 36 b^{4})

Factor out

a^{2}

from

4 a^{4} - 9 a^{2} b^{2} : a^{2} (4 a^{2} - 9 b^{2})

Factor out

- 4 b^{2}

from

- 16 a^{2} b^{2} + 36 b^{4} : - 4 b^{2} (4 a^{2} - 9 b^{2})

= a^{2} (4 a^{2} - 9 b^{2}) - 4 b^{2} (4 a^{2} - 9 b^{2})

Factor out common term

4 a^{2} - 9 b^{2}

= (4 a^{2} - 9 b^{2}) (a^{2} - 4 b^{2})

Factor

4 a^{2} - 9 b^{2} : (2 a + 3 b) (2 a - 3 b)

= (2 a + 3 b) (2 a - 3 b) (a^{2} - 4 b^{2})

Factor

a^{2} - 4 b^{2} : (a + 2 b) (a - 2 b)

= (2 a + 3 b) (2 a - 3 b) (a + 2 b) (a - 2 b)

2 \frac{x ^{43}}{2}

x^{4} - 125 x \cdot y^{3}

30.77 \cdot (41.14)^{2407} x \cdot (11.17)^{2}

\frac{( ( 9 + 7 x ) ^{\frac{1}{2}} - ( 16 + 3 x ) ^{\frac{1}{4}} )}{( 4 + 5 x )}

\frac{( z + i ) ^{3}}{( z ^{2} - ( 7 + i ) z + 7 i )}

What is factor 4a^4-25a^2*b^2+36b^4 ?
The solution to factor 4a^4-25a^2*b^2+36b^4 is (2a+3b)(2a-3b)(a+2b)(a-2b)