Which trinomials are perfect square trinomials?Select each correct answer.a2+26a+169a2+4a+16a2+14a+49a2+15a+75Factor completely.4p² + 36p + 81Express the answer in the form (ap+b)2 .Enter your answer in the box.Factor.81a36−64b16(9a6−8b4)(9a6+8b4)(9a18−8b8)(9a18+8b8)(9a6−8b4)2(9a18−8b8)2Which expressions are differences of squares?Select each correct answer.x2−169h2−20t2−4a2+1
Accepted Solution
A:
1. the perfect squares in this case are a²+26a+169 = (a+13)² a²+14a+49 = (a+7)²
2. factorising 4p²+36p+81 product = 324 sum = 36 numbers are 18 and 18 Thus , 4p²+18p+18p+81 2p(2p+9) +9p(2p+9) thus, (2p+9p)(2p+9p)
3. Factor 81a36-64b16 this is the difference between two squares, such that; a²-b² = (a+b)(a-b) therefore, 81a36 -64b16 will be; (9a18-8b8)(9a18+8b8)
4. The differences between two squares is such that; a²-b² = (a+b)(a-b) therefore in this case, the difference between two squares will be; x²-169 = (a-13)(a+13), and t²-4 = (t-4)(t+4)