Question

- 3. Find the product: (i) (x + 3)(x - 3) (ii) (3x – 2y)(3x + 2y) (iii) (2x2 + y) (2x2 - y) (iv) (3a? – 562)(3a2 + 5b2) (u) (73 - 263)(7a3 + 2b3) 1 1 (vi) (b За – b 7 (3a + 10) (30 - 50 b​

Answer 1

Answer:

(x−2y+3)(x

2

+4y

2

+2xy+6y−3x+9)

Medium

Solution

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Verified by Toppr

Given : (x−2y+3)(x

2

+4y

2

+2xy+6y−3x+9)

The given question can be written as

=(x+(−2y)+30(x

2

+(−2y)

2

+3

2

−(x)(−2y)−(−2y)(3)−(3)(x))

According to the equation,

a

3

+b

3

+c

3

−3abc=(a+b+c)(a

2

+b

2

+c

2

−ab−bc−ca)

we get,

=x

3

+(−2y)

3

+3

3

−3×x×(−2y)×3

(x−2y+3)(x

2

+4y

2

+2xy+6y−3x+9)=x

3

−8y

3

+27+18xy