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5. Expand ( 7x - 2y )²
==> (7x - 2y)²
==> (7x)² + (2y)² - 2 • 7x • 2y
(a - b)² = a² + b² - 2ab
==> 49x² + 4y² - 28xy
6. Evaluate using suitable identity: (103)²
==> (103)³
==> (100 + 3)³
==> (100)³ + (3)³ + 3•3•100 ( 100 + 3 )
(a + b)³ = a³ + b³ + 3ab( a + b )
==> 1000000 + 27 + 900( 103 )
==> 1000027 + 92700
==> 1092727
Answered by
10
5.(7x-2y)²
(7x)²-2×7x×2y+(2y)²
49x²-28xy+4y²
6.(103)³
(100+3)³
(100)³+(3)³+3×100×3(100+3)
10000+27+900(100+3)
1000000+27+90000+2700
1092727
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