Question

$(a + b) \times (a - b) =$

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

Step-by-step explanation:

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

$(2x + 3y) \times 5xy$

$= 5xy(2x) + 5xy(3y)$

$= 10x {}^{2} y + 15xy {}^{2}$

$(x { }^{2} - 2xy + y {}^{2} ) \times xy$

$= xy(x { }^{2} )- xy(2xy) +xy( y {}^{2} )$

$= x {}^{3} y - 2x {}^{2} y {}^{2} + xy {}^{3}$