simplify left bracket, x, plus, 3, right bracket, left bracket, 6, x, squared, minus, x, right bracket, .(x+3)(6x 2 −x)
Question
simplify left bracket, x, plus, 3, right bracket, left bracket, 6, x, squared, minus, x, right bracket, .(x+3)(6x 2 −x)
Solution
To simplify the expression (x+3)(6x^2 - x), you need to apply the distributive property, which states that a(b + c) = ab + ac. Here's how you do it:
Step 1: Distribute x in the second bracket to each term in the first bracket: x * 6x^2 - x * x = 6x^3 - x^2
Step 2: Distribute 3 in the second bracket to each term in the first bracket: 3 * 6x^2 - 3 * x = 18x^2 - 3x
Step 3: Combine the results from step 1 and step 2: 6x^3 - x^2 + 18x^2 - 3x
Step 4: Combine like terms: 6x^3 + 17x^2 - 3x
So, the simplified form of the expression (x+3)(6x^2 - x) is 6x^3 + 17x^2 - 3x.
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