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Verified answer
A.(3x-2)² =(3x -2)(3x+2)=9x²+6x-6x-4= 9x²-4
b. (2m +n)²= (2m+n)(2m+n)=4m²+2mn+2mn+n²
= 4m²+4mn+n²+(m +2n+1)
= 4m²+4mn +n²+m+2n+1
= 4m²+n²+4mn+m+2n+1
c.(3a+2)²=(3a+2)(3a+2)=6a²+6a+6a+4= 6a²+12a+4+(2a+1)(1-2a)
=6a²+12a+4+(2a-4a²+1-2a)
=6a²+12a+4+2a-4a²+1-2a
=6a²-4a²+12a +2a-2a+4+1
=2a²+12a+5
d.(5x+1)²-(5x-1)²
= (5x+1)(5x+1)-(5x-1)(5x+1)
= 25x²+5x+5x+1
-(25x²+5x-5x-1)
= 25x²+5x+5x+1-25x²-5x+5x+1= 25x²-25x²+10x+2
(3x-2)² = (3x-2) (3x -2)
=9x² -6x -6x + 4
= 9x² -12x +4
b.
(2m+n)² + (m +2n + 1)
(2m + n) (2m +n) + (m + 2n + 1)
4m² + 2mn + 2mn + n² + m + 2n + 1
4m² + 4mn + m+ 2n + n² + 1
c.
(3a +2)² + (2a + 1) (1 - 2a)
(3a +2) (3a +2) + (2a + 1) (1 - 2a)
9a² + 6a + 6a + 4 + 2a + 1 - 4a² - 2a
9a² - 4a² + 6a + 6a + 2a -2a + 4 + 1
5a² + 12a + 5
d.
(5x + 1)² - (5x - 1)²
(5x + 1) (5x + 1) - (5x - 1) (5x - 1)
(25x² + 5x + 5x +1) - (25x² - 5x -5x +1)
(25x² + 10x + 1) - (25x² -10x +1)
25x + 10x + 1 - 25x² + 10x - 1
20x