更新1:
Simplify: 1) 2x-4[3x-2(7-3x)+3(5+4x)-4x]+1 2) [(x+y)+1][(x+y)-1] Please Provide a step by step explanation thank you :)
Simplify: 1) 2x-4[3x-2(7-3x)+3(5+4x)-4x]+1 2) [(x+y)+1][(x+y)-1]?
回答 (1)
2015-01-05 11:21 pm
1)
Distribute the -4 through the brackets:
2x - 12x + 8(7 - 3x) - 12(5 + 4x) + 16x + 1, then distribute the 8 and the 12.
2x - 12x + 56 - 24x - 60 - 48x + 16x + 1, then gather the terms.
-66x - 4
2)
Use (a + b) × (a - b) = a² - b²
(x + y)² - 1² = x² + 2xy + y² - 1
Distribute the -4 through the brackets:
2x - 12x + 8(7 - 3x) - 12(5 + 4x) + 16x + 1, then distribute the 8 and the 12.
2x - 12x + 56 - 24x - 60 - 48x + 16x + 1, then gather the terms.
-66x - 4
2)
Use (a + b) × (a - b) = a² - b²
(x + y)² - 1² = x² + 2xy + y² - 1
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