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

ICSE BoardEnglish MediumSTD 7MATHSFundamental Concepts (Including Fundamental Operations)3 Marks
Question
Evaluate: $(8 - 12x + 7x^2 - 6x^3)(5 - 2x)$
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Answer

$(8 - 12x + 7x^2 - 6x^3)(5 - 2x)$
$= 5(8 - 12x + 7x^2 - 6x^3) - 2x (8 - 12x + 7x^2 - 6x^3)$
$= 40 - 60x + 35x^2 - 30x^3 - 16x + 24x^4 - 14x^3 + 12x^4$
$= 40 - 60x - 16x + 35x^2 + 24x^4 - 30x^3 - 14x^3 + 12x^4$
$= 40 - 76x + 59x^2 - 44x^3 + 12x^4$

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