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densk [106]
3 years ago
10

(8m-3n)^2 - (4m+3n)^2​

Mathematics
1 answer:
natulia [17]3 years ago
4 0

Answer:

48m^2-72mn

Step-by-step explanation:

We need to solve (8m-3n)^2 - (4m+3n)^2

We know that,

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

Using the above formula,

(8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn

So, the final answer is 48m^2-72mn.

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