Question

verify the distributive property of _1/2 b2/3 and c_5/6

​

Answer 1

$\huge \underline{\mathfrak \pink {\boxed{answer}}}$

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

$\red{draw \: a \: square \: with \: side \: a + b \: ie \: 3 + 2}$

$\purple{LHS \: area \: of \: whole \: sq.}$

$= \orange {(3 + 2 {)}^{2} = } \green{ {5}^{2} = 25}$

$<font color = red>$

RHS = Area of square with side 3 units + Area of square with side 3 units + Area of rectangle with side 3,2 units + Area of rectangle with side 2,3 units

$= \purple{ {3}^{2} + {2}^{2} + 3 \times 2 + 3 \times 2}$

$= 9 + 4 + 6 + 6 = 25$

LHS=RHS

$\huge {\mathfrak \pink {\boxed{hence \: verified}}}$