(3p²+q²) x (2p²-3q²) Find the product. Please tell it fast. T_T
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ANSWER:
GIVEN:
- P(x) = (3p²+q²)(2p²-3q²)
TO FIND:
- Value of the above expression.
SOLUTION:
= (3p²+q²)(2p²-3q²)
= 3p²(2p²-3q²)+q²(2p²-3q²)
= 6p⁴-9p²q²+2p²q²-3q⁴
= 6p⁴-7p²q²-3q⁴
Value of the above expression is 6p⁴-7p²q²-3q⁴.
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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