00:38 5G 27 siyavula.com Siya \( \sqrt{\text { one }} 12 \) Algebraic expressions (Part 1): Simplifying MULTIPLYING BINOMIALS Answer the two questions below, which focus on the "difference of two squares" pattern. 1. Expand the following expression: \[ (g-9)(g+9) \] Answer: \[ (g-9)(g+9)= \] \( \square \) Check answer 2 attempts remaining Help! How should I type my answer? 2. 99

Simplify the expression by following steps: - step0: Multiply the terms: \(\left(g-9\right)\left(g+9\right)\) - step1: Simplify the product: \(g^{2}-9^{2}\) - step2: Evaluate the power: \(g^{2}-81\) Let's expand the expression \((g-9)(g+9)\) using the "difference of two squares" pattern. 1. The expression is given as: \[ (g-9)(g+9) \] 2. According to the difference of squares formula, which states that \( (a-b)(a+b) = a^2 - b^2 \), we can identify: - \( a = g \) - \( b = 9 \) 3. Applying the formula: \[ (g-9)(g+9) = g^2 - 9^2 \] 4. Calculating \( 9^2 \): \[ 9^2 = 81 \] 5. Therefore, the expanded expression is: \[ g^2 - 81 \] So, the final answer is: \[ (g-9)(g+9) = g^2 - 81 \]