Question

(2x+3y)²+(2x-3y)²

a) 4(2x)(3y)
b) 4(2x)(4y)
c) 6(3x)(5y)
d) 2((2x)²+(3y)²)
e) 2((x)²+(y)²)

Answer 1

Explanation:

d num i think 2((2x)^2+(3y)^2)

Answer 2

d)

`2 ({(2x)}^(2) + {(3y)}^(2) ) \\`

Explanation:

`{(2x + 3y)}^(2) + {(2x - 3y)}^(2) \\ (2x + 3y)(2x + 3y) + (2x - 3y)(2x - 3y) \\ 2x(2x + 3y) + 3y(2x + 3y) + 2x(2x - 3y) - 3y(2x - 3y) \\ {4x}^(2) + 6xy + 6xy + {9y}^(2) + {4x}^(2) - 6xy - 6xy + {9y}^(2) \\ {4x}^(2) + 12xy + {9y}^(2) + {4x}^(2) - 12xy + {9y}^(2) \\ {4x}^(2) + {9y}^(2) + {4x}^(2) + {9y}^(2) \\ {8x}^(2) + {18y}^(2) \\ 2( {4x}^(2) + {9y}^(2) ) \\ 2( {2}^(2) {x}^(2) + {3}^(2) {y}^(2) ) \\ 2({(2x)}^(2) + {(3y)}^(2)) \\`