Question

Match the polynomial expression on the left with the simplified version on the right.

Answer 1

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.