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​​

plz do it correctly, and point by point.
I will mark u as branliest. ​

Answer 1

Step-by-step explanation:

Solution :-

a ) Given expression is

6m²n (3m²n - 2mn + mn²)

If m = -1/2 and n = 0 then

=6(-1/2)²(0)[(3(-1/2)²(0) -2(-1/2)(0) + (-1/2)0²)]

=> 0(0-0+0)

=> 0

b) Given expression is 8pq²(2p²q-3p+5q) + 7pq²

If p = 1.7 and 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(2.89)(0.4)-5.1+2]+7(1.7)(0.16)

=> 2.176[2.312-5.1+2] +1.904

=> 2.176(4.312-5.1)+ 1.904

=> 2.176(-0.788)+1.904

=> -1.714688+1.904

=> 0.189312

c)Given expression is ( 14x²y² + 8y³z²) (xyz)

if x= 4.1, y= 2.1 and z= 1.6 then

=>[ 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)

=> ( 1037.8494+189.66528)(13.776)

=> (1227.51468)(13.776)

=> 16910.24223168

Answer:-

a) 0

b)0.189312

c)16910.24223168

Used formulae:-

Multiply with zero to any number is always zero.