Question

"2. Use the identity \\( ( x + a ) ( x + b ) = x ^ { 2 } + ( a + b ) x + a b \\) to find the follo\n\\( \\begin{array} { l l } { \\text { (1) } ( x + 3 ) ( x + 7 ) } & { \\text { (ii) } ( 4 x + 5 ) ( 4 x + 1 ) } \\\\ { \\text { (iii) } ( 4 x - 5 ) ( 4 x - 1 ) } & { \\text { (in) } ( 4 x + 5 ) ( 4 x - 1 ) } \\\\ { \\text { (y) } ( 2 x + 5 y ) ( 2 x + 3 y ) } & { \\text { (i) } \\left( 2 a ^ { 2 } + 9 \\right) \\left( 2 a ^ { 2 } + 1 \\right) } \\\\ { \\text { (a) } ( x + 3 y ) ( 2 x + 3 y ) } & { \\text { (v) } \\left( 2 a ^ { 2 } + 9 \\right) \\left( 2 a ^ { 2 } + 1 \\right) } \\\\ { \\text { (b) } ( b - 7 ) ^ { 2 } } & { \\text { (ii) } ( x y + 3 z ) ^ { 2 } } \\\\ { \\text { (iv) } \\left( \\frac { 2 } { 3 } m + \\frac { 3 } { 2 } n \\right) ^ { 2 } } & { ( 0.4 p - 0.5 q ) ^ { 2 } } \\\\ { \\text { (i) } \\left( a ^ { 2 } - b ^ { 2 } \\right) ^ { 2 } } & { \\text { (ii) } ( 2 r + 5 ) ^ { 2 } - ( 2 x - 1 ) ^ { 2 } - ( 2 x - 1 ) ^ { 2 } - ( 2 x - 1 ) ^ { 2 } - ( 2 x - 1 ) ^ { 2 } - ( 2 x - 1 ) ^ { 2 } - ( 2 x - 1 ) ^ { 2 } - 2 x - 1 } \\end{array} \\)"

Answer 1