What is factor 25a^4+54a^2b^2+49b^4 ?

The solution to factor 25a^4+54a^2b^2+49b^4 is (5a^2+7b^2+4ab)(5a^2+7b^2-4ab)

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factor 25a^4+54a^2b^2+49b^4

factor

25 a^{4} + 54 a^{2} b^{2} + 49 b^{4}

(5 a^{2} + 7 b^{2} + 4 ab) (5 a^{2} + 7 b^{2} - 4 ab)

Solution steps

25 a^{4} + 54 a^{2} b^{2} + 49 b^{4}

Add and subtract

16 a^{2} b^{2}

= 25 a^{4} + 70 a^{2} b^{2} + 49 b^{4} - 16 a^{2} b^{2}

Factor

25 a^{4} + 70 a^{2} b^{2} + 49 b^{4} : (5 a^{2} + 7 b^{2})^{2}

= (5 a^{2} + 7 b^{2})^{2} - 16 a^{2} b^{2}

Apply exponent rules

= (5 a^{2} + 7 b^{2})^{2} - (4 ab)^{2}

Factor

(5 a^{2} + 7 b^{2})^{2} - (4 ab)^{2} : (5 a^{2} + 7 b^{2} + 4 ab) (5 a^{2} + 7 b^{2} - 4 ab)

= (5 a^{2} + 7 b^{2} + 4 ab) (5 a^{2} + 7 b^{2} - 4 ab)

40 + 25 x

e^{l n (e)}

1 \frac{1}{2} \div 6

- 24 \div 8

(a + b) (a^{3} - 3 ab - b^{2})

What is factor 25a^4+54a^2b^2+49b^4 ?
The solution to factor 25a^4+54a^2b^2+49b^4 is (5a^2+7b^2+4ab)(5a^2+7b^2-4ab)