Q. Find the product. Simplify your answer.(3h+2)(3h−2)
Identify a and b: We are asked to find the product of two binomials: (3h+2)(3h−2). This is a difference of squares problem, which follows the formula (a+b)(a−b)=a2−b2.
Apply formula: Identify the values of a and b. In the expression (3h+2)(3h−2), a is 3h and b is 2.
Simplify expression: Apply the difference of squares formula to expand (3h+2)(3h−2).Using the formula (a+b)(a−b)=a2−b2, we get:(3h+2)(3h−2)=(3h)2−(2)2
Simplify expression: Apply the difference of squares formula to expand (3h+2)(3h−2). Using the formula (a+b)(a−b)=a2−b2, we get: (3h+2)(3h−2)=(3h)2−(2)2 Simplify (3h)2−(2)2. (3h)2−(2)2=(3h×3h)−(2×2)=9h2−4
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