25p^2-64m^2+144mn-81n^2
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Step-by-step explanation:
25p²- 64m²+ 144mn - 81n²
= 25p²- (64m²-144mn+81n²)
= 25p²- {(8m)²-2×8m×9n+(9n)²}
= (5p)²- (8m-9n)²
= {5p+(8m-9n)} {5p - (8m-9n)}
= (5p+8m-9n) (5p-8m+9n)
Algebraic identities used:
- (a-b)² = a²-2ab+b²
- a²- b² = (a+b) (a-b)
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