a: \(G=\left(7-x\right)^2+2\left(x-7\right)\left(x+3\right)+\left(x+3\right)^2\)
\(=\left(x-7\right)^2+2\left(x-7\right)\left(x+3\right)+\left(x+3\right)^2\)
\(=\left(x-7+x+3\right)^2=\left(2x-4\right)^2=4x^2-16x+16\)
b: \(H=9x^2+6x\left(x-5\right)+\left(x-5\right)^2\)
\(=\left(3x\right)^2+2\cdot3x\cdot\left(x-5\right)+\left(x-5\right)^2\)
\(=\left(3x+x-5\right)^2=\left(4x-5\right)^2=16x^2-40x+25\)
a: G = ( 7 − x ) 2 + 2 ( x − 7 ) ( x + 3 ) + ( x + 3 ) 2 = ( x − 7 ) 2 + 2 ( x − 7 ) ( x + 3 ) + ( x + 3 ) 2 = ( x − 7 + x + 3 ) 2 = ( 2 x − 4 ) 2 = 4 x 2 − 16 x + 16 b: H = 9 x 2 + 6 x ( x − 5 ) + ( x − 5 ) 2 = ( 3 x ) 2 + 2 ⋅ 3 x ⋅ ( x − 5 ) + ( x − 5 ) 2 = ( 3 x + x − 5 ) 2 = ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25