What is factor bx^2+cx^2-by^2-cy^2 ?

The solution to factor bx^2+cx^2-by^2-cy^2 is (x+y)(x-y)(b+c)

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factor bx^2+cx^2-by^2-cy^2

factor

b x^{2} + c x^{2} - b y^{2} - c y^{2}

(x + y) (x - y) (b + c)

Solution steps

b x^{2} + c x^{2} - b y^{2} - c y^{2}

Factor out common term

b

= b (x^{2} - y^{2}) + c x^{2} - c y^{2}

Factor

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

= b (x + y) (x - y) + c x^{2} - c y^{2}

Factor out common term

c

= b (x + y) (x - y) + c (x^{2} - y^{2})

Factor

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

= b (x + y) (x - y) + c (x + y) (x - y)

Factor out common term

(x + y) (x - y)

= (x + y) (x - y) (b + c)

w^{2} + w z + w y + zy

sin^{3} (θ) + cos^{3} (θ)

2 (ab)

4 x^{2} - 2 x y + 9 yz - 18 x z

(x + y)^{2} - 10 (x + y) + 25

What is factor bx^2+cx^2-by^2-cy^2 ?
The solution to factor bx^2+cx^2-by^2-cy^2 is (x+y)(x-y)(b+c)