Find the following products:(i) (x + 4) (x + 7)(ii) (x – 11) (x + 4)

1.	Find the following products:(i) (x + 4) (x + 7)(ii) (x – 11) (x + 4)(iii) (x + 7) (x – 5)
Answer» (i) (x + 4) (x + 7) = x (x + 7) + 4 (x + 7) = x² + 7x + 4x + 28 = x² + 11x + 28 (ii) (x – 11) (x + 4 = x (x + 4) – 11 (x + 4) = x² + 4x – 11x – 44 = x² – 7x – 44 (iii) (x + 7) (x – 5) = x (x – 5) + 7 (x – 5) = x² – 5x + 7x – 35 = x² + 2x – 35

Find the following products:(i) (x + 4) (x + 7)(ii) (x – 11) (x + 4)(iii) (x + 7) (x – 5)

Answer»

(i) (x + 4) (x + 7)

= x (x + 7) + 4 (x + 7)

= x² + 7x + 4x + 28

= x² + 11x + 28

(ii) (x – 11) (x + 4

= x (x + 4) – 11 (x + 4)

= x² + 4x – 11x – 44

= x² – 7x – 44

(iii) (x + 7) (x – 5)

= x (x – 5) + 7 (x – 5)

= x² – 5x + 7x – 35

= x² + 2x – 35

Simplify:(i) (x – y) (x + y) (x2 + y2) (x4 + y4)(ii) (2x – 1) (2x + 1) (4x2 + 1) (16x4 + 1)
Simplify:(m2 – n2m)2 + 2m3n2
Subtract the sum of 3l – 4m – 7n2 and 2l + 3m – 4n2 from the sum of 9l + 2m – 3n2 and -3l + m + 4n2….
Find the following products:(i) 2a3 (3a + 5b)(ii) -11a (3a + 2b)(iii) -5a (7a – 2b)(iv) -11y2 (3y + 7)
Evaluate each of the following when x = 2, y = -1. (3/5x2y) × (-15/4xy2) × (7/9x2y2)
Find the product of the following binomials:(i) (2x + y) (2x + y)(ii) (a + 2b) (a – 2b)(iii) (a2 + bc) (a2 – bc)
Find the following products: 4/3a (a2 + b2 – 3c2)
Find the product of the binomials: (x3 + 1/x3) (x3 – 1/x3)
If x + 1/x = 9 find the value of x4 + 1/ x4.
Find the product of the binomials:(x4 + 2/x2) (x4 – 2/x2)