Question

If the area of a rectangle is 8x²- 45y² + 18xy and

one of its sides is 4x + 15y find the length of adjacent

side.​

Answer 1

Answer:(2x - 3y)

Step-by-step explanation:$l \times b = area \: of \: rectangle \\ = )(4x + 15y) \times b = 8{x}^{2} - 45 {y}^{2} + 18xy \\ = )b = \frac{8 {x}^{2} - 45 {y}^{2} + 18xy }{4x + 15y} \\ = )b = \frac{8 {x}^{2} + 18xy - 45 {y}^{2} }{4x + 15y } \\ = )lets \: factorise \: the \: numerator \: \\ by \: mid \: split \: term \\ = )b = \frac{8 {x}^{2} + 30xy -12xy - 45 {y}^{2} }{4x + 15y} \\ = )b = \frac{2x(4x + 15y) - 3y(4x + 15y)}{4x + 15y} \\ = )b = \frac{(4x + 15y)(2x - 3y)}{4x + 15y} \\ = )b = (2x - 3y)$Hope It Helped

Answer 2

Answer:

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