MATCHING TYPE
Match Column A with Column B to get the perfect square trinomia
of a binomial by writing the letter before each item.
COLUMN A
COLUMN B
1. W2 + 5W + 25/4 =
a. (t + 6)2
2. 4h2 -52h + 169 =
b. (4x - 62
3. t2 + 12t + 36 =
c. (h - 11)
4. x2 + 2/3x + 1/9 =
d. (t - 7/2)2
5. t2- 14t + 49/4 =
e. (5x - 12)
6. 16x2 + 48x + 36 =
f. (2h - 13)
7. h2 - 22h + 121 =
g. (W + 5/2)2
8. 4x2 - 12x + 9 =
h. (7x - 1)
9. 25x2 - 120x + 144 =
i. (2x - 3)2
10. 49t2 - 140 + 1 =
j. (x + 1/3)
k. (2x + 4)2
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Answers
Answer:
1. g. (W + 5/2)^2
2. f. (2h - 13)^2
3. a. (t + 6)^2
4. j. (x + 1/3)^2
5. d. (t - 7/2)^2
6. b. (4x - 6)^2
7. c. (h - 11)^2
8. i. (2x - 3)^2
9. e. (5x - 12)^2
10. h. (7x - 1)^2
The answer to the given question is as follows:
1. W² + 5W + 25/4
= W² + 5/2 W + 5/2 W + 25/4.
= W(W + 5/2) + 5/2(W + 5/2).
= (W + 5/2)(W + 5/2).
= (W + 5/2)². (g).
2. 4h² -52h + 169.
= 4h² - 26h - 26h + 169.
= 2h(2h - 13) - 13(2h + 13).
= (2h - 13)(2h - 13).
= (2h - 13)². (f).
3. t² + 12t + 36.
= t² + 6t + 6t + 36.
= t(t + 6) + 6(t + 6).
= (t + 6)(t + 6).
= (t + 6)². (b).
4. x² + 2/3x + 1/9.
= x² + 1/3x + 1/3x + 1/9.
= x(x + 1/3) + 1/3(x + 1/3).
= (x + 1/3)(x + 1/3).
= (x + 1/3)². (j).
5. t²- 14t + 49/4.
= t² - 7/2t - 7/2t + 49/4.
= t(t - 7/2) - 7/2(t + 7/2).
= (t - 7/2)(t - 7/2).
= (t - 7/2)². (d).
6. 16x² + 48x + 36.
= 16x² + 24x + 24x + 36.
= 4x(4x + 6) + 6(4x + 6).
= (4x + 6)(4x + 6).
= (4x + 6)². (b).
7. h² - 22h + 121.
= h² - 11h - 11h + 121.
= h(h - 11) - 11(h - 11).
= (h - 11)(h - 11).
= (h - 11)² . (c).
8. 4x² - 12x + 9.
= 4x² - 6x - 6x + 9.
= 2x(2x - 3) - 3(2x - 3).
= (2x - 3)(2x - 3).
= (2x - 3)². (i).
9. 25x² - 120x + 144.
= 25x² - 60x - 60x + 144.
= 5x(5x - 12) - 12(5x - 12).
= (5x - 12)(5x - 12).
= (5x - 12)². (e).
10. 49t² - 140 + 1.
= 49t² - 7x - 7x + 1.
= 7x(7x - 1) - 1(7x - 1).
= (7x -1)(7x - 1).
= (7x -1)². (h).