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Answer 1 The distributive property states that a(b + c) = ab + ac. To simplify 4(3 + 2) using the distributive property, you multiply 4 by each term inside the parentheses: 4 * 3 + 4 * 2, which equals 12 + 8. Therefore, 4(3 + 2) simplifies to...
Answer 1 To simplify the expression (x^2 - 4)/(x + 2), first recognize that x^2 - 4 is a difference of squares and can be factored into (x + 2)(x - 2). The expression then becomes [(x + 2)(x - 2)] / (x + 2). By cancelling the common factor (x + 2),...
Answer 1 To solve for x in the equation (2x^2 - 4x + 3) = (x - 1)(x^2 + 3x - 2), first expand the right-hand side: (x - 1)(x^2 + 3x - 2). Then, equate the expanded form to the left-hand side. Combine like terms to form a single quadratic equation....
Answer 1 The novel 'The Great Gatsby' was written by F. Scott Fitzgerald. Published in 1925, it is considered one of the greatest works of American literature, offering a critical social history of America during the Roaring Twenties.[yarpp...
Answer 1 Major geological events like earthquakes and volcanic eruptions have significantly shaped landscapes globally. Earthquakes can create faults, uplift mountains, and trigger landslides, altering topography. Volcanic eruptions produce new...
Answer 1 To prove that the sum of the angles of a cyclic quadrilateral is 360 degrees using properties of inscribed angles, consider a cyclic quadrilateral ABCD inscribed in a circle. The opposite angles of a cyclic quadrilateral are supplementary,...