Find (2x + 3y) 2

a 4x2+12xy+9y2 b 4x2+9y2

c 4x2+12+9y2
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a

Step-by-step explanation:

(2x + 3y)²

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

Each term in the second factor is multiplied by each term in the first factor

2x(2x + 3y) + 3y(2x + 3y) ← distribute parenthesis

= 4x² + 6xy + 6xy + 9y² ← collect like terms

= 4x² + 12xy + 9y² → a

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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