factorise 25 (a + b)^2 - 16 (a - b)^2.....plz solve

Dear student,


We have,25a+b2-16a-b2=5a+b2-4a-b2Using a2-b2=a+b×a-b=5a+b+4a-b×5a+b-4a-b=5a+5b+4a-4b×5a+5b-4a+4b=9a+ba+9b
Regards

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{5(a+b)}^2-{4(a-b)}^2
={5a+5b+4a-4b}{5a +5b-4a+4b}
={9a+b}{a+9b}
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