Question

Factorise : ( 64m²+81n²-144mn)-25p²​

Answer 1

Answer:

(8m - 9n - 5p)(8m - 9n + 5p)

Step-by-step explanation:

(64m2 + 81 n2 - 144mn) - 5p2

= {$(8m)^{2}$ + $(9n)^{2}$ - 2* 8m * 9n } - $(5p)^{2}$

= $(8m - 9n )^{2}$ - $(5p)^{2}$

= (8m - 9n - 5p) (8m - 9n + 5p)

Answer 2

Hi!

Here's your answer

First apply the identity

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

$(64m {}^{2} + 81n {}^{2} - 144mn ) - 25p {}^{2} \\ \\ = > (8m - 9n) {}^{2} - 25p {}^{2}$

Now apply the identity

a^2 - b^2 = (a+b)(a-b)

Here ,

a=8m-9n

b=5p

$(8m - 9n + 5p)(8m - 9n - 5p)$

Hence we arrive at the answer

Hope this helps

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