How do you evaluate $(4 x + 5 y) (3 x + 3 y)$ $(4x + 5y ) ( 3x + 3y )$ ?

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Answer 1 · 2017-11-29T05:28:15

$12 x^{2} + 27 x y + 15 y^{2}$ $12x^2+27xy+15y^2$

Rather than evaluating this expression, we can simplify it.

FOIL the terms:

$(4 x + 5 y) (3 x + 3 y)$ $(4x+5y)(3x+3y)$

$= (4 x \cdot 3 x) + (4 x \cdot 3 y) + (5 y \cdot 3 x) + (5 y \cdot 3 y)$ $=(4x\cdot 3x)+(4x\cdot 3y)+(5y\cdot 3x)+(5y\cdot 3y)$

$= 12 x^{2} + 12 x y + 15 x y + 15 y^{2}$ $=12x^2+12xy+15xy+15y^2$

$= 12 x^{2} + 27 x y + 15 y^{2}$ $=12x^2+27xy+15y^2$

How do you evaluate (4x + 5y ) ( 3x + 3y )(4x+5y)(3x+3y)(4x + 5y ) ( 3x + 3y )?