1. Simplify:

(a)

(b)

(c)

(d)

(e) 3xyz(x²+y²+z²)   

(f) (x+y)(2x-3y)

(g) (3x+y)(x+3y)

(h) (x+2y+z)(x-y)

2. Expand the following using formulas:-

(a) (3x+2y)²

(b) (2x-3y)²

(c) (2x-3y)(2x+3y)

(d) (4x-y)(4x+y)

3. Multiply the following:-

(a) (x+2y)(2x+y)    (b) (2x+y)(2x-y+7)   (c) (3x-y)(7-3x-y)

4. If a=2, b=3, find the value of 4a²-12ab+9b².

5. Without actual multiplication, find the value of:

(a) 99²-97²   (b) 95 x 105   (c) 52²   (d) 47²

6. If

,
find the value of