The simplified version of first expression is y² + 10y + 25 and simplified version of second expression is y² – 25
The first polynomial expression on the left is (y + 5)²
= y² + 2×y×5 + 5² (using the formula (a + b)² = a² + 2ab + b²)
= y² + 10y + 25
The second polynomial expression on the left is (y + 5)(y – 5)
= y(y – 5) + 5(y – 5)
= y² – 5y + 5y – 25
= y² – 25
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The complete question is given below :
The polynomial expression on the left is (y + 5)², and the simplified version on the right for this polynomial is y² + 10y + 25.
The polynomial expression on the left is (y – 5)(y + 5), and the simplified version on the right for this polynomial is y² – 25.
