What is factor mx^2-px^2+pa^2-ma^2 ?

The solution to factor mx^2-px^2+pa^2-ma^2 is (x+a)(x-a)(m-p)

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factor mx^2-px^2+pa^2-ma^2

factor

m x^{2} - p x^{2} + p a^{2} - m a^{2}

(x + a) (x - a) (m - p)

Solution steps

m x^{2} - p x^{2} + p a^{2} - m a^{2}

Factor out common term

m

= m (x^{2} - a^{2}) - p x^{2} + p a^{2}

Factor

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

= p a^{2} - x^{2} p + m (x + a) (x - a)

Factor out common term

p

= m (x + a) (x - a) + p (- x^{2} + a^{2})

Factor

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

= m (x + a) (x - a) + p (x + a) (a - x)

Rewrite as

= (x + a) (x - a) m - (x + a) (x - a) p

Factor out common term

(x + a) (x - a)

= (x + a) (x - a) (m - p)

3^{12} \cdot 7

x + 3 - 4

f (x) (x^{2} - 1)^{l n (x^{2} - 1)}

(- 2 X) + (3 Y)

\frac{16 x ^{4} - 81}{2 x + 3}

What is factor mx^2-px^2+pa^2-ma^2 ?
The solution to factor mx^2-px^2+pa^2-ma^2 is (x+a)(x-a)(m-p)