How do u factorise tge following pq - 4p +3q - 12
Answers
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ANSWER:
- Required Factorisation = (q-4)(p+3)
GIVEN:
- pq-4p+3q-12
TO FIND:
- Factorise the above expression.
SOLUTION:
= pq-4p+3q-12
= (pq-4p)+(3q-12)
= p(q-4)+3(q-4)
= (q-4)(p+3)
ADDITIONAL INFORMATION:
- If the question are ask about finding the value of p and q then:
=> (q-4)(p+3) = 0
Either (q-4) = 0
=> q = 4
Either (p+3) = 0
=> p = (-3)
NOTE:
Some important formulas:
(a+b)² = a²+b²+2ab
(a-b)² = a²+b²-2ab
(a+b)(a-b) = a²-b²
(a+b)³ = a³+b³+3ab(a+b)
(a-b)³ = a³-b³-3ab(a-b)
a³+b³ = (a+b)(a²+b²-ab)
a³-b³ = (a-b)(a²+b²+ab)
(a+b)² = (a-b)²+4ab
(a-b)² = (a+b)²-4ab
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