Question

express each of the following expressions in the form (x+a)²+b. (a) x²+12x (b) x²-6x+1 (c) x²+3x-2 (d) x²+9x-1 (e) x²+1/2x (f) x²-2/9x (g)x²+ 0.2x (h) x²-1.4x

Answer 1

Answer:

(a)

${x}^{2} + 12x \\ = {x}^{2} + (2 \times 4 \times x) + {4}^{2} - 16 \\ = (x + 4)^{2} - 16$

(b)

${ x}^{2} - 6x + 1 \\ = {x}^{2} - (2 \times 3 \times x) +( {3}^{2} ) - 9 + 1 \\ = ( {x - 3)}^{2} - 8$