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The expression a2 − (b + c) simplifies to 8x2 − 25x + 7 after expanding and combining like terms For example, engineers use polynomials to design bridges and other structures, ensuring stability and optimal performance. First, we expand a2 and add b + c before combining like terms.
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The given polynomials are A = 3x -4 B = x + 7 C = x² + 2 Now we have to find the simplest form of A² - (B + C) A² = (3x - 4)² = 9x² + 16 -24 x B + C = x + 7 + x² + 2 = x² + x + 9 Now A² - (B + C) = 9x² + 16 -24x - (x² + x + 9) = 9x² -24x + 16 - x²- x - 9 = 8x² -25x + 7 Therefore Option A. 8x² - 25x + 7 is the answer. Examples polynomials are used to model curves and relationships in various fields Algebraic identities and polynomial expansions confirm the calculations of a2 and b + c consistently yield the results derived, highlighting that if all calculations are followed correctly, deviations in expected options warrant further investigation.
A polynomial function is an expression constructed with one or more terms of variables with constant exponents
The simplest form of the polynomial is given by Let's solve the expression step by step using the given polynomials = = = distributing the negative sign gives 9x2 − x2 = 8x2 for x
−24x −x = −25x for the constant terms 16 − 9 = 7 so, we have The expression simplifies to 8 25 7. If you would like to find AB - C in simplest form, you can do this using the following steps: A = n B = 2n + 6 C = n^2 - 1 AB - C = n * (2n + 6) - (n^2 - 1) = 2n^2 + 6n - n^2 + 1 = n^2 + 6n + 1 The correct result would be B=n2 + 6n + 1.
The expression a2 − (b + c) simplifies to 8x2 − 25x + 7, which corresponds to option a
The steps involve calculating a2, determining b + c, and then performing the subtraction while combining like terms. A, b, and c are polynomials, where Find an answer to your question a, b, and c are polynomials, where Final answer therefore, a2 −(b + c) = 8x2 −25x + 7
