Answer:
1. xy + x^2:
This is a quadratic expression. To solve it, we can factor out an 'x' from both terms:
x(y + x)
2. 5n + 15m:
Both terms have a common factor of 5. We can factor it out:
5(n + 3m)
3. 4m^2n^2 + 4mn:
Both terms have a common factor of 4mn. We can factor it out:
4mn(mn + 1)
4. 25a + 25b:
Both terms have a common factor of 25. We can factor it out:
25(a + b)
5. 27y^2 + 9y - 18:
This is a quadratic expression. Let's find the factors of 27 and -18 that add up to 9, which is the coefficient of 'y' in the middle term:
27y^2 + 9y - 18 = (9y - 6)(3y + 3)
Explanation:
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