(a + b)² = (a - b)² + 4ab substitute it
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Answer:
To substitute the expression (a + b)² into the equation (a - b)² + 4ab, we can expand and simplify the left side to match the right side of the equation:
Starting with the left side:
(a + b)² = a² + 2ab + b²
Now, the equation becomes:
a² + 2ab + b² = (a - b)² + 4ab
Expanding (a - b)²:
(a - b)² = a² - 2ab + b²
Now, the equation looks like:
a² + 2ab + b² = a² - 2ab + b² + 4ab
Next, combine like terms on both sides of the equation:
a² + 2ab + b² = a² + 2ab + b²
As you can see, both sides of the equation are equal. Therefore, the given equation (a + b)² = (a - b)² + 4ab is satisfied, and the substitution holds true.
Step-by-step explanation:
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