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Just do the green circle

For Exercises 67-74, factor out the polynomial CLI.S 67 y(a 3) 2(a 3) GC Set 69.ja(an卞sn) + b(2h (2m+3m)(4a+b)3 68. a(x - 4) +5(x -4) (x 4a+5) a-3)y +2) 72. 3m(3a-2)- 4(3a 2 1)5x(4m-5)-2(4m-5) (3a 2)(3m -4) 70. 3m(3a +5b) +n(3a + 5b) 3a+56)(3m+) 4-5)(5x 2) 74. 6r(3y +5) -3a(3y +5) (3y+52)21-) Objective 4 Prep Exercise 5 What kinds of polynomials are factored by grouping? Four-term polynomials Prep Exercise 6 When factoring by grouping, after out a monomial GCE, what is the next step? Group together pairs of terms and factor the GCF out of en each For Exercises 75-98,factor by grouping See Example Ha am-an bb bx + 2b + α + 2c (x+ 2b+ c 76. cx + y + bx + by x+yc+b) m-nKa-b) 0. y4y- by-4b 83) 3xy 5y 6r 10 y-x -2) (x+2)(r-3) b) (1 + x2)(1 ) (3x +5)(y +2) 84. 2ab + 8a+3b+ 12 86. r3-4x2 +x-4 b+4)(2a+3) (4b-1)6+1) 87, 6+2b-3a -ab (3 + b)2-a) 88. 12 + 3y-4x-y (3 - x)4+9) 2y)(3a +4b) 90. ac +2ad +2bc +4bd 92. am-an bmb mm(a-b) 91 c + 2d)(a +2b) v-s)-r 94, a2 + 42b + 3a + 12b w+3+ 5 (s + y)(3t 2) Re Ex 15, 96. 5ab +5ac-3h-3c (b + )(5a -3) 98. For Exercises 99-108, factor completely. See Example 9b). 99. )2+2ab + 6a +6b 100. 3m?+3mn+12m+ 12 2(a + b(a + 3) 101. 12ab+ 18a+16b +24 2(2b 3)(3a +4) 104. 12ac +Bad -18be 12h 2(3e 24)(2a-3) 15 102. 12pg +84+30p+ 20 103. 24xz 12xw - 6yz+ 3yw 2(3p + 2)(24+ 5)
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Answer #1

Q1.

4a(2m+3n)+b(2m+3n)

Factor out the greatest common factor from both the terms which is (2m+3n)

(2m+3n)(4a+b)

Q2.

2r(6p+5q)-4s(6p+5q)

Factor out the greatest common factor from both the terms which is 2(6p+5q)

2(6p+5q)(r-2s)

Q3.

am-an+bm-bn

Factor out GCF a from first two terms and GCF b from last two terms implies

a(m-n)+b(m-n)

Factor out GCF (m-n) from the two terms

(m-n)(a+b)

Q4.

4b^2-b+4b-1

Factor out GCF b from first two terms

b(4b-1)+4b-1

Factor out GCF (4b-1) from the two terms

(4b-1)(b+1)

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