The product is $\left[(x - 1)(x - 2)\right]^3 = (x^2 - 3x + 2)^3$. The $x^4$ terms arise from taking $x^2, x^2, 2$ in 3 ways, giving $3 \times 2 = 6$, and from $x^2, -3x, -3x$ in 3 ways, giving $3 \times 9 = 27$. The total is $6 + 27 = 33$.
More Quantitative Aptitude: Algebra, Geometry and Mensuration questions
GATE 2022 AG Q2– A sphere of radius r cm is packed in a cubical box. What is the minimum box volume in cm³?
GATE 2022 AG Q8– Given 3p-q<4 and 3q-p<12, which expression follows?
GATE 2021 AG Q3– Find the interior angle of a regular10-sided polygon in degrees.
GATE 2021 AG Q4– Which number is exactly divisible by 1113+1?
GATE 2026 ES Q10– Three externally tangent circles C 1,C 2,C 3 have centers O 1,O 2,O 3 and radii r 1=2 cm,r…
GATE 2025 ES Q5– A rectangle has a length L and a width W, where L > W. If the width, W, is increased by…