To solve this problem, we need to first understand what the expression looks like after both variables a and b are increased by 25%.

If a is increased by 25%, the new value of a, let's call it a', is 1.25a.
Similarly, if b is increased by 25%, the new value of b, let's call it b', is 1.25b.

Now, let's substitute these new values into the expression:

a'² + 2a'b' = (1.25a)² + 2(1.25a)(1.25b) = 1.5625a² + 2.5ab.

The original expression was a² + 2ab, and the new expression is 1.5625a² + 2.5ab.

To find out by how much the value of the expression increased, we need to subtract the original expression from the new one:

(1.5625a² + 2.5ab) - (a² + 2ab) = 0.5625a² + 0.5ab.

This means the expression increased by 56.25% of a² and 50% of 2ab.

So, the total increase is 56.25% of the original expression.

Question

To solve this problem, we need to first understand what the expression looks like after both variables a and b are increased by 25%.

If a is increased by 25%, the new value of a, let's call it a', is 1.25a.
Similarly, if b is increased by 25%, the new value of b, let's call it b', is 1.25b.

Now, let's substitute these new values into the expression:

a'² + 2a'b' = (1.25a)² + 2(1.25a)(1.25b) = 1.5625a² + 2.5ab.

The original expression was a² + 2ab, and the new expression is 1.5625a² + 2.5ab.

To find out by how much the value of the expression increased, we need to subtract the original expression from the new one:

(1.5625a² + 2.5ab) - (a² + 2ab) = 0.5625a² + 0.5ab.

This means the expression increased by 56.25% of a² and 50% of 2ab.

So, the total increase is 56.25% of the original expression.

Knowee AI · Accepted Answer

To solve this problem, we need to first understand what the expression looks like after both variables a and b are increased by 25%.

If a is increased by 25%, the new value of a, let's call it a', is 1.25a.
Similarly, if b is increased by 25%, the new value of b, let's call it b', is 1.25b.

Now, let's substitute these new values into the expression:

a'² + 2a'b' = (1.25a)² + 2(1.25a)(1.25b) = 1.5625a² + 2.5ab.

The original expression was a² + 2ab, and the new expression is 1.5625a² + 2.5ab.

To find out by how much the value of the expression increased, we need to subtract the original expression from the new one:

(1.5625a² + 2.5ab) - (a² + 2ab) = 0.5625a² + 0.5ab.

This means the expression increased by 56.25% of a² and 50% of 2ab.

So, the total increase is 56.25% of the original expression.

In the expression a2 + 2ab, values of both variables a and b are increased by 25%. By how much will the value of expression increase?25ab%25(a+b)%56.25%43.48%

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