Question

Evaluate the following algebraic expressions.


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

please find the answer as 16915.23 (only for genius) ​

Answer 1

$\large\bf\underline\red{Answer \: :-}$

$\large\rm\underline\red{Given \: :-}$

• x= 4.1
• y= 2.1
• z= 1.6

$\large\rm\underline\red{To \: find \: :-}$

• ( 14x²y² + 8y³z²) (xyz)

$\large\rm\underline\red{Solution \: :-}$

We take bracket wise, taking first bracket.

( 14x²y² + 8y³z²)

First we find,

→ x² = (4.1)² = 16.81

→ y² = (2.1)² = 4.41

→ y³ = (2.1)³ = 9.261

→ z² = (1.6)² = 2.56

Now,

$\sf\longrightarrow{14x {}^{2}y {}^{2} + 8y {}^{3}z {}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf\longrightarrow{(14 \times 16.81 \times4.41) + 8y {}^{3}z {}^{2} } \: \: \: \: \: \: \: \\ \\ \sf\longrightarrow{1037.8494 + (8 \times 9.261 \times 2.56)} \\ \\ \sf\longrightarrow{1037.8494 + 189.66528} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf\longrightarrow \pink{1227.51468} \: \: \: \: \: \: \: ...(1) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Now,

Taking 2nd bracket

$\sf\longrightarrow{(xyz)} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf\longrightarrow{(4.1 \times 2.1 \times 1.6)} \\ \\ \sf\longrightarrow \pink{13.776} \: \: \: \: ...(2) \: \: \: \: \:$

Taking both equation,

$\sf\longrightarrow{(14x {}^{2}y {}^{2} + 8y {}^{3} z {}^{2} )(xyz)} \\ \\ \sf\longrightarrow{1227.51468 \times 13.776} \: \\ \\ \sf\longrightarrow { \boxed{\sf \pink{16910.2422}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Answer is 16910.2422

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