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AssignmentMultiple Choice

Simplifying Polynomial Expressions

Question 2 • Mathematics III A

Simplify –x(6x5)2(–2y6)(y).

Answer
A
–72x11y7
B
72x11y7
C
–12x11y7
D
12x11y7

Explanation

Interpret the expression as −x(6x⁵)²(−2y⁶)(y). First, square the coefficient and power: (6x⁵)² = 36x¹⁰. Then multiply the coefficients, −1 × 36 × −2 = 72, and add exponents for like bases: x¹ × x¹⁰ = x¹¹ and y⁶ × y¹ = y⁷. The result is 72x¹¹y⁷, choice B.

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