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Fundamental Concepts (Including Fundamental Operations) — MATHS STD 7 — Question

ICSE BoardEnglish MediumSTD 7MATHSFundamental Concepts (Including Fundamental Operations)3 Marks
Question
Multiply: $(1 + 6x^2 - 4x^3)(-1 + 3x - 3x^2)$
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Answer

$(1 + 6x^2 - 4x^3)(-1 + 3x - 3x^2)$
$\Rightarrow 1(- 1 + 3x - 3x^2) + 6x^2 (- 1 + 3x - 3x^2) - 4x^3 (- 1 + 3x - 3x^2)$
$\Rightarrow - 1 + 3x - 3x^2 - 6x^2 + 18x^3 - 18x^4 + 4x^3 - 12x^4 + 12x^5$
$\Rightarrow - 1 + 3x - 9x^2 + 22x^3 - 30x^4 + 12x^5$

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