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a) 6xy + 2x² - 8xy - 3x² = -x² - 2xy
b) a² + 1 - 0.2a² + 3b² - 3 + b² = a² + 1 - a² + 3b² - 3 + b² = a² + 3b² - 2
c) √5x + 3√5x = 4√5x
d) 2√6x - 5√3y - √6x + 4√3y = √6x - √y
e) (4x - y) - (3x + 2y) = 4x - y - 3x + 2y= x + y
f) -(-a -5) - (-2 -3a) -2a -1 = a + 5 + 2 + 3a - 2a - 1 = 2a + 6
2.
a) 4x-2 = 2 (x-1)
b) 60X² - 15x + 20 = 5 (12x² - 3x - 4)
c) (a + b)x -(a +b)y = (a+b)(x-y)
d) ab² - 2ab = ab (ab - 2)
e) 7x²+ 3x² ײ - 2x³ = x² (7 + 3x² - 2x)
f) x² + 4xy + x +4y = x (4y + 1) + 4y
3.
a)( x+2)(x+4) = x2 + 4x + 2x + 8 = x2 + 6x + 8
b) (−3x−4)(5−2x) = −15x + 6x2 − 20 + 8x = 6x2 − 7x − 20
c) (√3+2)(2√3−3) = 6 − 3√3 + 4√3 − 6 = √3
d) (2√a−√b)(−√b+2√a = −4a−b + 4√a + b
4.
e) (a - 3b)(3b +a)=a²-9b²
5.
a² + b² - ab = (a + b)²