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Factorisation Using Algebraic Identities

Question 83x ...

Question

Question 83 (xx)

Multiply the following:

$(x^{2} - 5 x + 6), (2 x + 7)$

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Solution

We have $(x^{2} - 5 x + 6)$ and $(2 x + 7)$
$∴ (x^{2} - 5 x + 6) (2 x + 7) = x^{2} (2 x + 7) - 5 x (2 x + 7) + 6 (2 x + 7)$
$= 2 x^{3} + 7 x^{2} - 10 x^{2} - 35 x + 12 x + 42 = 2 x^{3} - 3 x^{2} - 23 x + 42$

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Factorisation Using Algebraic Identities

Standard VIII Mathematics

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