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Chapter 1: Q 1.42. (page 34)

Evaluate:4x2-xy+5y2whenx=-2,y=3.

Short Answer

Expert verified

The value is 67.

Step by step solution

01

Step 1. Given Information. 

The given expression is 4x2-xy+5y2and the values of the variables are x=-2and y=3.

02

Step 2. Substitute the values.

Substitute -2for xand 3 for yinto the given expression 4x2-xy+5y2.

4-22--23+532

03

Step 3. Calculate the exponents.

The value of the exponents are -22=4and 32=9. Simplify the exponents in the obtained expression.

4路4--23+5路9

04

Step 4. Multiply. 

Perform multiplication from left to right.

16--6+45

05

Step 5. Simplify.

Add and subtract from left to right.

16+6+45=22+45=67

06

Step 6. Conclusion.

The required value is 67.

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