5) If two adjacent sides of a rectangle are 5x2 + 25xy + 4y2 and 2x2 - 2xy + 3y2 , find the area.

Dear Student,


Let two sides of rectangle are A=5x2+25xy+4y2B=2x2-2xy+3y2Area of rectangle=A×B5x2+25xy+4y22x2-2xy+3y210x4-10x3y+15x2y2+25x3y-50x2y2+75xy3+8x2y2-8xy3+12y410x4-10x3y+25x3y+15x2y2-50x2y2+8x2y2+75xy3-8xy3+12y410x4-15x3y-27x2y2+67xy3+12y4

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not proper
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Side 1 (l)of rectangle- 5x​2 + 25xy +4y2
side 2 (b) of rectangle- 2x​2 - 2xy +3y2

area of rectangle - l * b


AREA = 5x​2 + 25xy +4y2   *  2x​2 - 2xy +3y2
        ​    ​= 10x4 - 10x3y + 3x2y2 + 50x3y - 50x2y2 + 75xy3 + 8x2y2- 8xy3 + 12y4
            ​= 10x4 + 12y+ 40x3y + 68xy3 - 39x2y2
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