Can some one help me with the fourth question please....................pls fast
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(1)
Given : (3p - 2q)^2 + 24pq
We know that (a - b)^2 = a^2 + b^2 - 2ab
= > (3p)^2 + (2q)^2 - 2(3p)(2q) + 24pq
= > 9p^2 + 4q^2 - 12pq + 24pq
= > 9p^2 + 4q^2 + 12pq
= > (3p + 4q)^2
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(2)
Given : (5m + 3n)^2 - (5m - 3n)^2
We know that (a + b)^2 = a^2 + b^2 + 2ab, (a - b)^2 = a^2 + b^2 - 2ab
= > 25m^2 + 9n^2 + 30mn - (25m^2 + 9n^2 - 30mn)
= > 25m^2 + 9n^2 + 30mn - 25m^2 - 9n^2 + 30mn
= > 60mn.
Hope this helps!
sidratul1:
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