Question 88

Expand and simplify expand and simplify : $$(3x+2)^2 \times (4x-3)-(2x^3-9x^2+12x-24)$$

Solution

Expression : $$(3x+2)^2 \times (4x-3)-(2x^3-9x^2+12x-24)$$

= $$[(9x^2+4+12x) \times (4x-3)]+(-2x^3+9x^2-12x+24)$$

= $$(36x^3-27x^2)+(16x-12)+(48x^2-36x)+(-2x^3+9x^2-12x+24)$$

= $$(36x^3-2x^3)+(-27x^2+48x^2+9x^2)+(16x-36x-12x)+(-12+24)$$

= $$34x^3+30x^2-32x+12$$

=> Ans - (B)

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