Question

i) x²-36
ii) 4x²-9y²
iii) 16a²-27
iv) 3x⁵-48x³
v) 12x²-27
vi) 1-(b-c)
vii) (2x+5y)²-1
viii) x²-y²-2y-1
ix) 9a²-b²+4b-4

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Answer 1

Step-by-step explanation:

1..

$x {}^{2} - 36 \\ x {}^{2} - 6 {}^{2} \\ (x + 6)(x - 6)$

2..

$4x {}^{2} - 9y {}^{2} \\ 2x {}^{2} - 3y {}^{2} \\ (2x - 3y)(2x + 3y)$

6..

$1 - (b - c) \\ 1 - b + c \\ 1(c - b)$

7 ..

$(2x + 5y) {}^{2} - 1 \\ 2x {}^{2} + 5y {}^{2} + 2 \times 2x \times 5y - 1 \\ 4x {}^{2} + 25y {}^{2} + 20xy - 1$

8..

$x {}^{2} - y {}^{2} - 2y - 1 \\ (x {}^{2} - y {}^{2} ) - 2y - 1 \\ (x - y)(x + y) - 2y - 1$