Find each of the following products:

Question:

Find each of the following products:

(i) (4a + 5b) × (5a − 6b)

(ii) (6x2 − x + 8) × (x2 − 3)

Solution:

(i) $(4 a+5 b) \times(5 a-6 b)$

$=20 a^{2}-24 a b+25 a b-30 b^{2}$

$=20 a^{2}+a b-30 b^{2}$

(ii) (6x2 − x + 8) × (x2 − 3)

$=6 x^{4}-18 x^{2}-x^{3}+3 x+8 x^{2}-24$

$=6 x^{4}-x^{3}-18 x^{2}+8 x^{2}+3 x-24$

$=6 x^{4}-x^{3}-10 x^{2}+3 x-24$

 

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