Question

expand and simplify (5x-2y)(x+2y)

Answer 1

Answer:5x²+8xy-2y²

Step-by-step explanation:5x( x+2y)-2y(x+2y)

5x²+10xy-2xy-2y²

5x²+8xy-2y²

Answer 2

$\red{ Product \:of \:two \: binomials}$

$\red{(5x-2y)(x+2y) }\\= 5x(x+2y)-2y(x+2y) \\= 5x\times x + 5x \times 2y - 2y \times x -2y \times 2y \\=5x^{2} + 10xy - 2xy - 4y^{2} \\= 5x^{2} + 8xy - 4y^{2}$

Therefore.,

$\red{(5x-2y)(x+2y)} \\\green {= 5x^{2} + 8xy - 4y^{2} }$

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