What is factor x^4+7ax^2-60a^2 ?

The solution to factor x^4+7ax^2-60a^2 is (x^2-5a)(x^2+12a)

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factor x^4+7ax^2-60a^2

factor

x^{4} + 7 a x^{2} - 60 a^{2}

(x^{2} - 5 a) (x^{2} + 12 a)

Solution steps

x^{4} + 7 a x^{2} - 60 a^{2}

Break the expression into groups

= (x^{4} - 5 x^{2} a) + (12 x^{2} a - 60 a^{2})

Factor out

x^{2}

from

x^{4} - 5 x^{2} a : x^{2} (x^{2} - 5 a)

Factor out

12 a

from

12 x^{2} a - 60 a^{2} : 12 a (x^{2} - 5 a)

= x^{2} (x^{2} - 5 a) + 12 a (x^{2} - 5 a)

Factor out common term

x^{2} - 5 a

= (x^{2} - 5 a) (x^{2} + 12 a)

18 x^{3} + 12 x^{2} - 15 x - 10

\frac{60}{2}

1.7 + (- 5) + (- 3.27)

(b + 4) (b - 4)

3.14 \cdot 1 3^{2}

What is factor x^4+7ax^2-60a^2 ?
The solution to factor x^4+7ax^2-60a^2 is (x^2-5a)(x^2+12a)