Question

x² + 2xy + y², 10x² Subtract the given expressions.

Answer 1

Given Expressions,

x² + 2xy + y² and 10x²

Let x² + 2xy + y² b e ex(i),

and 10x² be ex(ii)

On Subtracting ex(ii) from ex(i),

x² + 2xy + y² - 10x²

= y² + 2xy - 9x²

Hence, on subtracting the ex(ii) from (i) we get y² + 2xy - 9x² as result.

Note ⇒ ex(i) and ex(ii) means expressions (i) and (ii) respectively.

Hope it helps.

Answer 2

Hi,

Solution:

Expression 1: x² + 2xy + y²

Expression 2: 10x²

Subtraction: Since it is not clear which expression subtracted from other.So,

1) expression 1 - Expression 2

x² + 2xy + y² - 10x²

= -9x² + 2xy + y² Answer 1

2) expression 2 - Expression 1

= 10x²- x² - 2xy - y²

= 9x²-2xy -y² Answer 2

Point to remember:

While addition in algebra ,one should remember that like term add with like

term and the same rule is applicable in subtraction.

for example:

→ x and x are like

→ x and y are not like.

→ $x^{2}$ and$x^{2}$ are like

→ x and $x^{2}$ are not like

hope it helps you.