Simplifying ( 4x + 5y)( 4x + #10;5y) . #10; #10; ( 4x + 5y)( 4x + 5y) #10; #10; = ( 4x + 5y)^2 #10; #10; = ( 4x)^2 + ( 5y #10 ...

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Multiplication of Any Polynomial

4x+5y4x+5y

Question

$(4 x + 5 y) (4 x + 5 y)$

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Solution

Simplifying $(4 x + 5 y) (4 x + 5 y)$ .

$(4 x + 5 y) (4 x + 5 y)$

$= {(4 x + 5 y)}^{2}$

$= {(4 x)}^{2} + {(5 y)}^{2} + 2 (4 x) (5 y)$

$= 16 x^{2} + 25 y^{2} + 40 x y$

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