What is factor+81p^2-144pq+64q^2 ?

The solution to factor+81p^2-144pq+64q^2 is (9p-8q)^2

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factor+81p^2-144pq+64q^2

factor

+ 81 p^{2} - 144 pq + 64 q^{2}

(9 p - 8 q)^{2}

Solution steps

81 p^{2} - 144 pq + 64 q^{2}

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

81 p^{2} = (9 p)^{2}

64 q^{2} = (8 q)^{2}

- 144 pq = - 2 \cdot 9 p \cdot 8 q

= (9 p)^{2} - 2 \cdot 9 p \cdot 8 q + (8 q)^{2}

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

(9 p)^{2} - 2 \cdot 9 p \cdot 8 q + (8 q)^{2} = (9 p - 8 q)^{2}

= (9 p - 8 q)^{2}

3 + - 8

a^{2} \cdot b - a \cdot b^{2} \cdot c \cdot d^{3}

\frac{3 32}{4}

3578

3 i^{70}

What is factor+81p^2-144pq+64q^2 ?
The solution to factor+81p^2-144pq+64q^2 is (9p-8q)^2