What is factor 25x^4+31x^2+16 ?

The solution to factor 25x^4+31x^2+16 is (5x^2+3x+4)(5x^2-3x+4)

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factor 25x^4+31x^2+16

factor

25 x^{4} + 31 x^{2} + 16

(5 x^{2} + 3 x + 4) (5 x^{2} - 3 x + 4)

Solution steps

25 x^{4} + 31 x^{2} + 16

Add and subtract

9 x^{2}

= 25 x^{4} + 40 x^{2} + 16 - 9 x^{2}

Factor

25 x^{4} + 40 x^{2} + 16 : (5 x^{2} + 4)^{2}

= (5 x^{2} + 4)^{2} - 9 x^{2}

Factor

(5 x^{2} + 4)^{2} - 9 x^{2} : (5 x^{2} + 4 + 3 x) (5 x^{2} + 4 - 3 x)

= (5 x^{2} + 4 + 3 x) (5 x^{2} + 4 - 3 x)

= (5 x^{2} + 3 x + 4) (5 x^{2} - 3 x + 4)

20 \frac{m}{s} h^{25} m^{35} m^{45} m^{5} m^{30} \frac{m}{s}

(x + y)^{2} - (x + y) + 12

(1) (x - c) (x - d) (x + k)

(\frac{4 r}{3})^{3}

y^{2} - a^{2}

What is factor 25x^4+31x^2+16 ?
The solution to factor 25x^4+31x^2+16 is (5x^2+3x+4)(5x^2-3x+4)