Math  /  Algebra

QuestionActivity 5 Express the following to a perfect square trinomials and write as square of binomials.
1. x2+2x+x^{2}+2 x+ \qquad
6. x2+11x+x^{2}+11 x+ \qquad
2. t2+20t+t^{2}+20 t+ \qquad
7. x215x+x^{2}-15 x+ \qquad
3. r216r+r^{2}-16 r+ \qquad
8. w2+21w+w^{2}+21 w+ \qquad
4. r2+24r+r^{2}+24 r+ \qquad
9. s2+23s+s^{2}+\frac{2}{3} s+ \qquad
5. x230x+x^{2}-30 x+ \qquad
10. h234h+h^{2}-\frac{3}{4} h+ \qquad

Studdy Solution
Express h234h+964h^2 - \frac{3}{4}h + \frac{9}{64} as a square of a binomial.
(h38)2 \left(h - \frac{3}{8}\right)^2
Solution Summary:
1. x2+2x+1=(x+1)2x^2 + 2x + 1 = (x+1)^2
2. t2+20t+100=(t+10)2t^2 + 20t + 100 = (t+10)^2
3. r216r+64=(r8)2r^2 - 16r + 64 = (r-8)^2
4. r2+24r+144=(r+12)2r^2 + 24r + 144 = (r+12)^2
5. x230x+225=(x15)2x^2 - 30x + 225 = (x-15)^2
6. x2+11x+1214=(x+112)2x^2 + 11x + \frac{121}{4} = (x+\frac{11}{2})^2
7. x215x+2254=(x152)2x^2 - 15x + \frac{225}{4} = (x-\frac{15}{2})^2
8. w2+21w+4414=(w+212)2w^2 + 21w + \frac{441}{4} = (w+\frac{21}{2})^2
9. s2+23s+19=(s+13)2s^2 + \frac{2}{3}s + \frac{1}{9} = (s+\frac{1}{3})^2
10. h234h+964=(h38)2h^2 - \frac{3}{4}h + \frac{9}{64} = (h-\frac{3}{8})^2

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