What is factor (p+q)^2-r^2 ?

The solution to factor (p+q)^2-r^2 is (p+q+r)(p+q-r)

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factor (p+q)^2-r^2

factor

(p + q)^{2} - r^{2}

(p + q + r) (p + q - r)

Solution steps

(p + q)^{2} - r^{2}

Apply Difference of Two Squares Formula:

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

(p + q)^{2} - r^{2} = ((p + q) + r) ((p + q) - r)

= ((p + q) + r) ((p + q) - r)

Apply rule:

(a) = a

(p + q) = p + q

= (p + q + r) (p + q - r)

7 x^{2} + 18 x y + 8 y^{2}

7 x = 105

\frac{1}{2} + \frac{1}{1}

16 x^{3} - x y^{2}

16 b^{4} - 25

What is factor (p+q)^2-r^2 ?
The solution to factor (p+q)^2-r^2 is (p+q+r)(p+q-r)