What is factor ax^2+by^2+bx^2+ay^2 ?

The solution to factor ax^2+by^2+bx^2+ay^2 is (x^2+y^2)(a+b)

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factor ax^2+by^2+bx^2+ay^2

factor

a x^{2} + b y^{2} + b x^{2} + a y^{2}

(x^{2} + y^{2}) (a + b)

Solution steps

a x^{2} + b y^{2} + b x^{2} + a y^{2}

Factor out common term

a

= a (x^{2} + y^{2}) + b y^{2} + b x^{2}

Factor out common term

b

= a (x^{2} + y^{2}) + b (y^{2} + x^{2})

Factor out common term

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

= (x^{2} + y^{2}) (a + b)

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What is factor ax^2+by^2+bx^2+ay^2 ?
The solution to factor ax^2+by^2+bx^2+ay^2 is (x^2+y^2)(a+b)