(c X 3. Factorise (a) 6c2 - 4cd (d) pʻq - pq? +p?o? p (b) x2 – 3x² – 3x - (e) a (x + y) + b (x + y) 2 2 22
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(c X 3. Factorise (a) 6c2 - 4cd (d) pʻq - pq? +p?o? p (b) x2 – 3x² – 3x - (e) a (x + y) + b (x + y) 2 2 22
Answered by
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Step-by-step explanation:
Suppose (a + b) and (c – d) are two binomials. By using the distributive law of multiplication over addition twice, we may find their product as given below.
(a + b) × (c – d) = a × (c – d) + b × (c – d)
= (a × c – a × d) + (b × c – b × d)
= ac – ad + bc – bd Let, a= 3p2,
b= q2, c= 2p2, d= 3q2
Now,
= 3p2× (2p2 – 3q2) + q2 × (2p2 – 3q2)
= [(3p2× 2p2) + (3p2× -3q2)] + [(q2 × 2p2) + (q2 × -3q2)] =
[6p4 – 9p2q2 + 2q2p2 – 3q4)]
= [6p4 – 7p2q2 – 3q4]
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