Question

Add 2x²-5x²y²+2xy and 6xy+4x²-7 then Subtract from -xy+x²+7x²y²​

Answer 1

$\huge\underline\mathfrak\pink{Answer}$

$2 {x}^{2} - 5 {x}^{2} {y}^{2} + 2xy + \\ ( 6xy + 4 {x}^{2} - 7) \\ \\ 2 {x}^{2} - 5 {x}^{2} {y}^{2} + 2xy + 6xy + 4 {x}^{2} \\ - 7 \\ \\ 2 {x}^{2} + 4 {x}^{2} - 5 {x}^{2} {y}^{2} + 2xy + 6xy \\ - 7\\ \\ 6 {x}^{2} - 5 {x}^{2} {y}^{2} + 8xy - 7$

$subtract \: \\ - xy + {x}^{2} + 7 {x}^{2} {y}^{2} - (6 {x}^{2} - \\ 5 {x}^{2} {y}^{2} + 8xy - 7) \\ \\ - xy + {x}^{2} + 7 {x}^{2} {y}^{2} - 6 {x}^{2} + 5 {x}^{2} {y}^{2} \\ - 8xy + 7 \\ \\ {x}^{2} - 6 {x}^{2} + 7 {x}^{2} {y}^{2} + 5 {x}^{2} {y}^{2} - xy \\ - 8xy + 7 \\ \\ - 5 {x}^{2} + 12 {x}^{2} {y}^{2} - 9xy + 7$

Answer 2

$\huge\orange{\textbf{\textsf{Question:}}}$

$\bf Add~2x{2}-5x^{2}y^{2}+2xy~and \\ \bf 6xy+4x^{2}-7~then~subtract~from \\ \bf -xy+x^{2}+7x^{2}y^{2}$

$\huge\orange{\textbf{\textsf{Answer:}}}$

$\bf{1.~~To~add:}$

$\tt{~~~(2x^{2}-5x^{2}y^{2}+2xy)+(6xy+4x^{2}-7)}$

$\bf{Collecting~the~like~terms~we~get:}$

$\tt{~~~(2x^{2}+4x^{2})+(2xy+6xy)-5x^{2}y^{2}-7}$

$\tt{→ {\orange{\underline{\boxed{\bf 6x^{2}+8xy-5x^{2}y^{2}-7}}}}}$

$\bf{2.~~To~subtract:}$

$\tt{~~~(-xy+x^{2}+7x^{2}y^{2})-(6x^{2}+8xy-5x^{2}y^{2}-7)}$

$\tt{→ -xy+x^{2}+7x^{2}y^{2}-6x^{2}-8xy+5x^{2}y^{2}+7}$

$\bf{Collecting~the~like~terms~we~get:}$

$\tt{~~~(-xy-8xy)+(x^{2}-6x^{2})+(7x^{2}y^{2}+5x^{2}y^{2})+7}$

$\tt{→ {\orange{\underline{\boxed{\bf -9xy-5x^{2}+12x^{2}y^{2}+7}}}}}$