Question

4x(3x-2y)-(10y-0,4x)²

Answer 1

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Answer 2

To simplify the expression 4x(3x-2y)-(10y-0.4x)², let's break it down step by step:

Step 1: Expand the squared term: (10y-0.4x)² = (10y-0.4x) * (10y-0.4x) = 100y² - 4xy - 4xy + 0.16x² = 100y² - 8xy + 0.16x²

Step 2: Distribute the 4x in the first term: 4x(3x-2y) = 12x² - 8xy

Now, let's substitute these simplified expressions back into the original equation:

4x(3x-2y)-(10y-0.4x)² = (12x² - 8xy) - (100y² - 8xy + 0.16x²) = 12x² - 8xy - 100y² + 8xy - 0.16x² = (12x² - 0.16x²) + (-100y² + 8xy - 8xy) = 11.84x² - 100y²

Therefore, the simplified expression is 11.84x² - 100y².