Question

simplify the following a+b^
2+a-b^2












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Answer 1

$\bigstar$ Question:

Simplify:

• a + b² + a - b²

$\bigstar$ Given:

• a + b² + a - b²

$\bigstar$To find:

• To Simplify: a + b² + a - b²

$\bigstar$ Solution:

a + b² + a - b²

= a + a + b² - b²

( -b² and b² got cancelled )

= $\boxed{2a}$

$\bigstar$Answer:

$\therefore$ the answer is $\boxed{2a}$

Answer 2

Simplify the following.

$(a + b) {}^{2} + {(a - b})^{2}$

Let us first simplify the first expression.

${a}^{2} + {b}^{2} + 2ab$

Now let us simplify the next expression

${a}^{2} + {b}^{2} - 2ab$

Now add both of the expressions

${a}^{2} + {b}^{2} + 2ab + \: {a}^{2} + {b}^{2} - 2ab$

2ab and -2ab will get cancelled because they have opposite signs.

Hence the answer would be,

$2( {a}^{2} + {b}^{2} )$