Find . -y = ( 4x³ + 9)( 2x⁷ - 3)

Question

Quizplus · Accepted Answer

The correct answer is obtained by expanding the given expression using the distributive property (FOIL method for binomials). The terms 4x and 2x, when multiplied, give 8x^2. Since the powers of x are 13 and 17, adding them gives x^30. Multiplying 8 by the coefficients 9 and -3 in the respective terms gives 72x^30 and -24x^30, which are not directly visible in the options. However, the correct expansion should also include the cross terms, which are 4x^13*(-3) and 9*(2x^17), leading to a middle term that combines to give a power of x^16. The mistake in the calculation here suggests a misunderstanding of the options provided, as none directly match the expected outcome of standard expansion. The correct approach involves recognizing the multiplication of coefficients and the addition of exponents in terms of powers of x, leading to a final polynomial expression.

Find . -Y = ( 4x3 + 9)( 2x7 - 3)

Find . -Y = ( 4x³ + 9)( 2x⁷ - 3)