Use Distributive Property: We are given the quadratic expression y = -9(x + 1)(x + 1). To expand this, we will use the distributive property (also known as the FOIL method for binomials) to multiply the two binomials (x + 1) and (x + 1).Multiply First Terms: First, we multiply the first terms of each binomial: x * x = x^2.Multiply Outer Terms: Next, we multiply the outer terms: x * 1 = x.Multiply Inner Terms: Then, we multiply the inner terms: 1 * x = x.Multiply Last Terms: After that, we multiply the last terms of each binomial: 1 * 1 = 1.Combine Like Terms: Now, we combine like terms: x^2 + x + x + 1 = x^2 + 2x + 1.Multiply by -9: Finally, we multiply the entire expression by -9 to get the expanded form: y = -9(x^2 + 2x + 1).Distribute -9: Distribute the -9 to each term in the binomial: y = -9 * x^2 + (-9) * 2x + (-9) * 1.Perform Multiplication: Perform the multiplication: y = -9x^2 - 18x - 9.

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y=-9(x+1)(x+1)

Use Distributive Property: We are given the quadratic expression $y = -9(x + 1)(x + 1)$ . To expand this, we will use the distributive property (also known as the FOIL method for binomials) to multiply the two binomials $(x + 1)$ and $(x + 1)$ .
Multiply First Terms: First, we multiply the first terms of each binomial: $x \times x = x^2$ .
Multiply Outer Terms: Next, we multiply the outer terms: $x \times 1 = x$ .
Multiply Inner Terms: Then, we multiply the inner terms: $1 \times x = x$ .
Multiply Last Terms: After that, we multiply the last terms of each binomial: $1 \times 1 = 1$ .
Combine Like Terms: Now, we combine like terms: $x^2 + x + x + 1 = x^2 + 2x + 1$ .
Multiply by $-9$ : Finally, we multiply the entire expression by $-9$ to get the expanded form: $y = -9(x^2 + 2x + 1)$ .
Distribute $-9$ : Distribute the $-9$ to each term in the binomial: $y = -9 \times x^2 + (-9) \times 2x + (-9) \times 1$ .
Perform Multiplication: Perform the multiplication: $y = -9x^2 - 18x - 9$ .