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(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)

Sagot :

Rlesandisusanyaidn

Answer:

d)

[tex]2 ({(2x)}^{2} + {(3y)}^{2} ) \\ [/tex]

Step-by-step explanation:

[tex] {(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}) \\[/tex]

Pp5815629idn

Step-by-step explanation:

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

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