Question

25a²+80ab+64b² ———————— 5a+8b

Answer 1

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Answer 2

To simplify the given expression $\frac{25a^2+80ab+64b^2}{5a+8b}$, you can factor the numerator and denominator if possible and then cancel out common factors. Let's factorize the numerator:

$25a^2 + 80ab + 64b^2 = (5a)^2 + 2 \cdot 5a \cdot 8b + (8b)^2 = (5a + 8b)^2.$

Now, the expression becomes:

$\frac{(5a + 8b)^2}{5a + 8b}.$

Now, you can cancel out the common factor of $5a + 8b$ from the numerator and denominator:

$\frac{(5a + 8b)^2}{5a + 8b} = 5a + 8b.$

So, $\frac{25a^2+80ab+64b^2}{5a+8b} = 5a + 8b$.