Question

15x² + y², 10x² - 2y² Subtract the given equations.

Answer 1

Given Equations,

15x² + y², 10x² - 2y²

Let 15x² + y² be eq(i). and 10x² - 2y² be eq(ii).

On Subtracting eq(ii) from (i).

15x² + y²- (10x² - 2y²)

= 15x² + y²- 10x² + 2y²

= 5x² + 3y²

Hence on subtracting the given equations, answer will be 5x² + 3y².

Hope it helps.

Answer 2

Dear students,

$1 5 x^{2} + y^{2} - ( 10 x^{2} -2y^{2} )\\\\ \\ =1 5 x^{2} + y^{2} - 10 x^{2} +2y^{2} \\\\ \\ =1 5 x^{2} - 10 x^{2}+ y^{2} +2y^{2}\\ \\\\ =5x^{2} +3 y^{2}$

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

term and the same rule is applied 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.