Question

1. Evaluate the following algebraic expressions.

a) 6m²n (3m²n - 2mn + mn²) if m= -1/2 and n=0

b) 8pq²(2p²q-3p+5q) + 7pq² if p = 1.7 and q = 0.4

c) ( 14x²y² + 8y³z²) (xyz) if x= 4.1, y= 2.1 and z= 1.6​

Answer 1

likewise you can solve all the equations

Answer 2

Step-by-step explanation:

a) 6m²n (3m²n - 2mn + mn²)

• m= -1/2
• n=0

⇒ 6(-1/2)²(0){(3(-1/2)²(0) -2(-1/2)(0) + (-1/2)0²)}

⇒ 0(0-0+0)

⇒ 0

b) 8pq²(2p²q-3p+5q) + 7pq²

• p = 1.7
• q = 0.4

⇒ 8(1.7)(0.4)²{2(1.7)²(0.4)-3(1.7)+5(0.4)}+7(1.7)(0.4)²

⇒ 8(1.7)(0.16){2(1.156)-(5.1+2)}+1.904

⇒ 2.176(2.312-5.1+2)+1.904

⇒ 2.176(-0.788)+1.904

⇒ 0.189312

c) (14x²y² + 8y³z²) (xyz)

• x= 4.1
• y= 2.1
• z = 1.6​​

⇒ {14(4.1)²(2.1)²+8(2.1)³(1.6)²}(4.1)(2.1)(1.6)

⇒ {14(16.81)(4.41)+ 8(9.261)(2.56)} (13.776)

⇒ (1227.51468)(13.776)

⇒ 16910.24223168

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