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b.(x+1)(3x+4)
c.4(x-1)(x-2)
j.(3y+2)(y+2)
= 2x(x + 1) + 3 (x + 1)
= (2x + 3 )(x + 1)
b. 3x² + 7x + 4 = 3x.x + 3x + 4x + 4.1
= 3x(x + 1) + 4(x + 1)
= (3x + 4)(x + 1)
c. 4x² - 12x + 8 = 4x.x - 4x - 8x + 8.1
= 4x(x - 1) - 8(x - 1)
= (4x - 8)(x - 1)
d. 5x² - 4x - 12 = 5x.x - 10x + 6x - 6.2
= 5x(x - 2) + 6(x - 2)
= (5x + 6)(x - 2)
e. 3x² - 6x - 24 = 3x.x - 12x + 6x - 6.4
= 3x(x - 4) + 6(x - 4)
= (3x + 6)(x - 4)
f. 2y² + 5y - 3 = 2y.y + 6y - y - 3.1
= 2y(y + 3) - 1(y + 3)
= (2y - 1)(y + 3)
g. 2x² + 5x + 3 = 2x.x +6x - x + 3.1
= 2x(x + 3) - 1(x + 3)
= (2x - 1)(x + 3)
h. 6x² + 5xy - 6y² = 6x.x + 9xy - 4xy - 6y.y
= 3x(2x + 3y) - 2(2x + 3y)
= (3x - 2)(2x + 3y)
j. 3y² + 8y + 4 = 3y.y + 6y + 2y + 2.2
= 3y(y + 2) + 2(y + 2)
= (3y + 2)(y + 2)