Question

19. Find the missing term in each of the following so that the expression becomes a perfect square.
(a) 25x? +(.....) + 49 (b) 64a? -(.....) +62
(c) 9+(.....) + x2
(d) 16a+ Sa+(.....)
(e) (.....) -18x+9x2 (f) x2 -2+(.....)​

Answer 1

Step-by-step explanation:

${(5x + 7)}^{2} = 25 {x}^{2} + 70x + 49$

$(b)(8a - 8) = 64 {a}^{2} - 2 \times 8 \times 8a + 64 \\ = 64 {a}^{2} - 128a + 64$

$(c){(x + 3)}^{2} = {x}^{2} + 2 \times 3x + 9 \\ = 9 + 6x + {x}^{2}$