Evaluate each of the following when x = 2, y = -1. (3/5x2y) × (-15/4

1.	Evaluate each of the following when x = 2, y = -1. (3/5x2y) × (-15/4xy2) × (7/9x2y2)
Answer» Let us simplify the given expression = 3/5 × -15/4 × 7/9 × x² × x × x² × y × y² × y² = -7/4 × x²⁺¹⁺² × y¹⁺²⁺² = 7/4x⁵y⁵ Now let us substitute when, x = 2 and y = -1 For -7/4x⁵y⁵ = -7/4 × (2)⁵ (-1)⁵ = -7/4 × 32 × -1 = 56

Evaluate each of the following when x = 2, y = -1. (3/5x2y) × (-15/4xy2) × (7/9x2y2)

Answer»

Let us simplify the given expression

= 3/5 × -15/4 × 7/9 × x² × x × x² × y × y² × y²

= -7/4 × x²⁺¹⁺² × y¹⁺²⁺²

= 7/4x⁵y⁵

Now let us substitute when, x = 2 and y = -1

For -7/4x⁵y⁵

= -7/4 × (2)⁵ (-1)⁵

= -7/4 × 32 × -1

= 56

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)