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Simplify the below algebraic expression.10(4x2−18x+1)−10(x2+14x−1)

Question

Simplify the below algebraic expression.10(4x2−18x+1)−10(x2+14x−1)

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Solution

Step 1: Distribute the 10 in the first term and the -10 in the second term.

10 * 4x^2 = 40x^2 10 * -18x = -180x 10 * 1 = 10

-10 * x^2 = -10x^2 -10 * 14x = -140x -10 * -1 = 10

So, the expression becomes: 40x^2 - 180x + 10 - 10x^2 - 140x + 10

Step 2: Combine like terms.

40x^2 - 10x^2 = 30x^2 -180x - 140x = -320x 10 + 10 = 20

So, the simplified expression is: 30x^2 - 320x + 20

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