Question

Evaluate (x + 2y) (2x – 3y) at x = 2, y = –1

Answer 1

Answer: 0

Step-by-step explanation:

Substitiute the values of x = 2 & y = -1 into the expression (x + 2y) (2x – 3y).

• [ (2) + 2(-1) ] x [ 2(2) – 3(-1) ] = [0] x [4 + 3] = [0] x [7] = 0

Therefore (x + 2y) (2x – 3y) = 0 when x = 2 & y =-1.

Answer 2

The result will be zero.

Given - Expression

Find - Result

Solution - To find the solution of given expression, we need to keep the value of x and y in the expression.

So keeping the given values of x and y in the expression -

Value = $(2 + 2 \times ( - 1))((2 \times 2) - 3 \times (- 1))$

Performing multiplication wherever the multiplication sign is present

Value = $(2 - 2)(4 + 3)$

Performing addition and subtraction to find the value

Value = $0 \times 7$

As per the known fact, the multiplication of any number with 0 gives 0.

Value = 0

Hence, on evaluation the given expression will give zero.

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