Question

13. Find the values of A and B in the division sum shown below:
AB) 2 5 2 BA
-24
1 2
1 2
Hint: AB x B= 24 and AB X A = 12.
AB X B 24 B 2
AB X A 12 A 1
х​

Answer 1

Step-by-step explanation:

Any general result expressed in symbols is called formula. In other words, a formula is the most general expression for any theorem respecting quantities.

Formula:

(a+b)^2 = (a+b)(a+b) =a(a+b)+b(a+b) =a^2+2ab+b^2

That is, the square of any two quantities is equal to the sum of their squares plus twice their product.

Corrollary:

a^2+b^2= (a^2+2ab+b^2)-2ab=(a+b)^2-2ab

Example: Find the square of

2x+3y

= (2x+3y)^2

= (2x)^2+2(2x)(3y)+(3y)^2

= 4x^2+12xy+9y^2

Example: Simplify:

(\dfrac{x}{y}+\dfrac{y}{x})^2

= (\dfrac{x}{y})^2+2\dfrac{x}{y}\dfrac{y}{x}+(\dfrac{y}{x})^2

=\dfrac{x^2}{y^2}+2+\dfrac{y^2}{x^2}