Question

25(a+b)^2 - 16(a-b) ^2​

Answer 1

Answer:

41a^2+18ab+41b^2

Step-by-step explanation:

(Step 1) For LHS :- 25(a+b)^2

=> 25{(a)^2+(2*a*b)+(b)^2}

=> 25(a^2+2ab+b^2)

=> 25a^2+50ab+25b^2

(Step 2) For RHS:- {-16(a-b) ^2}

=> [-16{(a)^2-2*a*b+(b)^2}]

=> { -16(a^2-2ab+b^2)}

=> -16a^2+32ab-16b^2

(Step 3) [25a^2+50ab+25b^2] - [-16a^2+32ab-16b^2]

=> 25a^2+50ab+25b^2 + 16a^2-32ab+16b^2

Now we bring the like terms together and then subtract and add the like terms.

=> (25a^2+16a^2)+(50ab-32ab)+(25b^2+16b^2)

=> 41a^2+18ab+41b^2

Please forgive if the answer is wrong by some or the other way and if it is correct, you are welcome

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