The factorization of (l + m)2 – 4lm is
Question
The factorization of (l + m)2 – 4lm is
Solution
To factorize the expression (l + m)2 - 4lm, we can follow these steps:
Step 1: Expand the square term (l + m)2 using the formula (a + b)2 = a2 + 2ab + b2. (l + m)2 = l2 + 2lm + m2
Step 2: Substitute the expanded term back into the original expression. (l + m)2 - 4lm = l2 + 2lm + m2 - 4lm
Step 3: Combine like terms. (l + m)2 - 4lm = l2 - 2lm + m2
Therefore, the factorization of (l + m)2 - 4lm is l2 - 2lm + m2.
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