Question

Simplify b ( a + b ) - a ( a - b ). a2 + 2 ab + b2 a2 - 2 ab + b2 - a2 + 2 ab + b2 - a2 - 2 ab - b2

Answer 1

- a2 + 2 ab + b2

Explanation:

Answer 2

Option C is correct.

`-a^2+b^2 +2ab`

Explanation:

Simplify:
`b(a+b) - a(a-b)` ......[1]

The distributive property says that:

`x \cdot (y+z) = a\cdot y + x \cdot z`

Apply the distributive property to equation [1] we have;

`b \cdot a + b \cdot b - (a\cdot a - a\cdot b)`

Simplify:

`ba +b^2 - (a^2 -ab)`

or

`ba + b^2 -a^2 + ab`

Use Commutative property:

xy =yx

then;

`ab + b^2 -a^2 + ab`

Combine like terms;

`b^2-a^2 +2ab`

Therefore, the simplified expression is,

`-a^2+b^2 +2ab`