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= x( x - 3 ) + 2( x - 3)
= x² - 3x + 2x - 6
= x² - x - 6
2. (2x-3) (x+4)
= 2x(x+4)-3(x+4)
= 2x² +8x-3x-12
=2x² + 5x -12
3. (4k + 1)²
= 4k² + 2(4k + 1) + 1²
= 4k² + 8k + 2 + 1²
= 4k² + 8x + 2 + 1
= 4k² + 8x + 3
4. (3m+2n)(3m-2n)
= 3m(3m-2n)+2n(3m-2n)
= 9m² - 6mn + 6mn - 4n²
= 9m² - 4n²
5. (3-a)(5+a)
=3(5+a)-a(5+a)
=15+3a-5a-a²
=15-2a-a²
6. (2+a)(a²-2a+1)
= 2(a²-2a+1)+a(a²-2a+1)
= 2a²-4a+2+a³-2a²+a
=2a²-2a²-4a+a+2
= -4a+a+2