Degree of 5x2y + 3xy is __________.(a) 3 (b) 2(c) 4 (d) 5

Simplify each of the following. Express your answers with positive exponents.a ( )x2 3y43xy  ( )xy–2 2x–3y5 b x2y–3( )2xy2 3  y42x–2 c 6a3b24a4b–2  5ab3a–2b  a5b–32a–2b__________________ __________________ _______________________________________ __________________ _______________________________________ __________________ _____________________d 5x0 + ( )3x2 0 e ( )4y3 + 3x 0 f ( )12m6n–5 2( )m4n–2 3  ( )m–4n2 –2

a) b) none of thesec) d)25a −2 4b2(a + b)2a −2 b2(a − b)23. (5-p)(5-p) is of the forma) b) none of thesec) d)(a + b)2(a − b)(a + b) (a − b)24. is of the forma) none of these b)c) d)(3x + 5y)(3x + 5y)3x −2 5y2(3x − 5y)2(3x + 5y)25. is of the forma) b)c) d) none of these(a − 5)(2a − 9)(x + a)(x + b) (a + b)(a − b)(a + b)26. is of the forma) none of these b)c) d)(4 − a)(4 − b )(a − b)2(a + b)2(x + a)(x + b)7. is of the forma) b)c) d)8a +3 64b3(a + b)3a +3 b3a −3 b3(a − b)38. can be calculated easily usinga) b)c) d) none of these2253(a + b)2(a + b)3a +3 b39. is the expansion ofa) b)c) none of these d)(a + 2ab + b2 2)(a + b)2(a + b)3(a − b)210. is the expansion ofa) b)c) d)(a − b) +3 3ab (a − b)(a + b3 3) (a − b)3(a − b3 3) (a + b)311. (x - y ) × (x + y ) = ______a) 2x + 2y b) 2xc) x + y d) x - y2 2 2 22 2 44 4 4 412. (p - q ) =a) p +2p q +q b) p -2p q +qc) p -2p q +q2 2 24 2 2 4 2 2 2 24 2 2 413. (5x+y)(-5x+y)a) 25x + 10xy + y b) -y - 25xc) 25x - y d) y - 25x2 2 2 22 2 2 214.a) b)c)(2x + 5) −2(2x − 5)240 + x 40 − x40x15. 105 95 =a) 9476 b) 9975c) 9875

Factor completely.x2 + 3xy - 4y2 - 5y + 5xSelect one:a. (x - y)(x + y + 5)b. (x - y)(x + 4y - 5)c. (x - y)(x - 4y + 5)d. (x - y)(x + 4y + 5)

Find the product of the following expressions:a. (3x²y)× ( −1 5 𝑥𝑦𝑧) ( 3 5 𝑦²𝑧)

What are the common factors of the following terms?(a) 25x2y, 30xy2(b) 63m3n, 54mn4