Answers to the Practice Problems are below in random order.
#1-10
\( (10d-11)(10d+11)\\ (y-5)(y+5) \\ (5x-2y)(5x+2y) \\ (4x-7)(4x+7) \\ -(d+3)(d-3) \\ (y+x)(y-x) \\ (x-2)(x+2) \\ (3p-2)(3p+2) \\ (2x-3)(2x+3) \\ (2z-1)(2z+1) \\ \)
#11-20
\( (x+2y)^2 \\ (3n+2)^2 \\ (p-8)^2 \\ -(x+5)^2 \\ (y+7)^2 \\ (x+5)^2\\ (y-4)^2 \\ (z-3)^2 \\ (2p-5)^2 \\ (2z-3)^2 \\ \)
#21-29
\( (\dfrac{1}{5}n-1)(n-5) \\ (n+6)(n-2) \\ \dfrac{1}{4}(c-2)(c-8) \\ (x-6)(x+12) \\ \dfrac{1}{10}(x-4)^2 \\ (x-7)(x-6) \\ \dfrac{1}{3}(x-5)(x+14) \\ (x+7)(x+1) \\ (m+1)(m+5) \\ \)
#30-40
\( 1 \\ 2 \\ 2 \\ 2 \\ 2 \\ 3 \\ 5 \\ 7 \\ 7 \\ 11 \\ 16 \\ \)
#41-45
\( 2x(x+5)(x-2) \\ x(2x+3)(x-1) \\ x(x-2)(x-3) \\ 2a(b+3)(b-7) \\ \dfrac{1}{2}x(x-4)(x+2) \\ \)
#46-50
\( 2 \\ 3 \\ A=w^2+2w \\ A=x^2+3x-10 \\ P=4x+6 \\ a,d,e,f \\ \)
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#1-10
\( (10d-11)(10d+11)\\ (y-5)(y+5) \\ (5x-2y)(5x+2y) \\ (4x-7)(4x+7) \\ -(d+3)(d-3) \\ (y+x)(y-x) \\ (x-2)(x+2) \\ (3p-2)(3p+2) \\ (2x-3)(2x+3) \\ (2z-1)(2z+1) \\ \)
#11-20
\( (x+2y)^2 \\ (3n+2)^2 \\ (p-8)^2 \\ -(x+5)^2 \\ (y+7)^2 \\ (x+5)^2\\ (y-4)^2 \\ (z-3)^2 \\ (2p-5)^2 \\ (2z-3)^2 \\ \)
#21-29
\( (\dfrac{1}{5}n-1)(n-5) \\ (n+6)(n-2) \\ \dfrac{1}{4}(c-2)(c-8) \\ (x-6)(x+12) \\ \dfrac{1}{10}(x-4)^2 \\ (x-7)(x-6) \\ \dfrac{1}{3}(x-5)(x+14) \\ (x+7)(x+1) \\ (m+1)(m+5) \\ \)
#30-40
\( 1 \\ 2 \\ 2 \\ 2 \\ 2 \\ 3 \\ 5 \\ 7 \\ 7 \\ 11 \\ 16 \\ \)
#41-45
\( 2x(x+5)(x-2) \\ x(2x+3)(x-1) \\ x(x-2)(x-3) \\ 2a(b+3)(b-7) \\ \dfrac{1}{2}x(x-4)(x+2) \\ \)
#46-50
\( 2 \\ 3 \\ A=w^2+2w \\ A=x^2+3x-10 \\ P=4x+6 \\ a,d,e,f \\ \)
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