Question

1. Find the greatest common factor of the following monomials:
(1) 2y;xy (ii) 2x*y; 14xy
(iii) 5x'y' ; -15x'y' ; 20x'y?
2. Factorize the following expressions:
(i) 5a + 10 (ii) 14x - 71 (ii) - 16mm
(iv) 18x"y' - 21x® y + 30%
3. Factorize:
(i) y(x + 3) + 3(x + 3)
(ii) mx + ny - 11x - my
(iii) 7a(3x + 2) - 8b(3x + 2)
(iv) 400 - 49) - 8a(p - 49)
4. Resolve into factors by taking out common factor:
(i) p + 20²9
(ii) 5a? - 25ab
(iii) 3x + 6a x2 - 3a\x
(iv) 7p2 - 7p + 14p
(v) 465 + 60 b3 - 262
(vi) 2a + 4b - 8c + 100
(vii) 3(a + b)2 -2(a + b)
(ix) 21xy - 42xy + 14xy
(x) 85m'n' - 34m'n + 17m'n?
(xi) 6x?(x - 2) + 2(x - 2)?
5. Resolve into factors by grouping method:
(i) x2 + xy + xz + yz
(ii) x - x2 + xy - yz
(iii) 2a + 3ab - 2ac - 3bc
(iv) ac² + b + bc + a
(v) axy + boxy - az - bez
(vi) x2 - (a + b)x + ab
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Answer 1

Answer:

1. Find the greatest common factor of the following monomials:

(1) 2y;xy (ii) 2x*y; 14xy

(iii) 5x'y' ; -15x'y' ; 20x'y?

2. Factorize the following expressions:

(i) 5a + 10 (ii) 14x - 71 (ii) - 16mm

(iv) 18x"y' - 21x® y + 30%

3. Factorize:

(i) y(x + 3) + 3(x + 3)

(ii) mx + ny - 11x - my

(iii) 7a(3x + 2) - 8b(3x + 2)

(iv) 400 - 49) - 8a(p - 49)

4. Resolve into factors by taking out common factor:

(i) p + 20²9

(ii) 5a? - 25ab

(iii) 3x + 6a x2 - 3a\x

(iv) 7p2 - 7p + 14p

(v) 465 + 60 b3 - 262

(vi) 2a + 4b - 8c + 100

(vii) 3(a + b)2 -2(a + b)

(ix) 21xy - 42xy + 14xy

(x) 85m'n' - 34m'n + 17m'n?

(xi) 6x?(x - 2) + 2(x - 2)?

5. Resolve into factors by grouping method:

(i) x2 + xy + xz + yz

(ii) x - x2 + xy - yz

(iii) 2a + 3ab - 2ac - 3bc

(iv) ac² + b + bc + a

(v) axy + boxy - az - bez

(vi) x2 - (a + b)x + ab

Answer 2

Answer:

vi x2 -(a+b)x+ab vi /28h(+₩€ 2839"'do