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Kenna Foley
Mathematics
1 July, 19:02
Factoriser 1-9x²-y²-6xy
+3
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Elsa Marquez
1 July, 19:06
0
- (1+3x+y) (3x+y-1)
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Steve
1 July, 19:18
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(1 - 3x - y) (1 + 3x + y)
Step-by-step explanation:
Given
1 - 9x² - y² - 6xy
= 1 - (9x² + y² + 6xy) ← perfect square
= 1 - (3x + y) ²
1 - (3x + y) ² is a difference of squares and factors in general as
a² - b² = (a - b) (a + b)
Here a = 1 and b = 3x + y, thus
1 - (3x + y) ²
= (1 - 3x - y) (1 + 3x + y) ← in factored form
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