SIMPLIFY RATIONAL EXPRESSIONS MONOMIALS
Simplify each expression.
Problem 1 :
Solution:
Problem 2 :
Solution:
Problem 3 :
Solution:
Problem 4 :
Solution:
Problem 5 :
Solution:
Problem 6 :
Solution:
Problem 7 :
Solution:
Problem 8 :
Solution:
Problem 9 :
4a5b9a4÷6ab412b2
Solution:
=4a5b9a4÷6ab412b2=4a5b9a4×12b26ab4=2×2×a×a×a×a×a×b3×3×a×a×a×a×2×2×3×b×b2×3×a×b×b×b×b=89b
Problem 10 :
Multiply:
25x28y8 24y455x7
Solution:
=25x28y8 24y455x7=5×5×x×x2×2×2×y×y×y×y×y×y×y×y 2×2×2×3×y×y×y×y11×5×x×x×x×x×x×x×x=1511x5y4
Problem 11 :
Divide:
a4b2a÷b44
Solution:
=a4b2a÷b44=a4b2a×4b4=a×a×a×a×b×ba×4b×b×b×b=4a3b2
Problem 12 :
8x29 92
Solution:
=8x29 92=4x2
Problem 13 :
9n2n 75n
Solution:
=9n2n 75n=6310n
Problem 14 :
5x24 65
Solution:
=5x24 65=3x22
Problem 15 :
10p5÷810
Solution:
=10p5÷810=10p5×108=5p2
Problem 16 :
Add 7a3a2b+4b6ab4
Solution:
=7a3a2b+4b6ab4=7×a3×a×a×b+2×2×b2×3×a×b×b×b×b=73ab+23ab3=7b2+23ab3
Problem 17 :
Subtract 45a-7b4a2
Solution:
=45a-7b4a2Take LCM,=16a20a2-35b20a2=16a-35b20a2
Problem 18 :
Add 68a+4+3a8
Solution:
=68a+4+3a8By cross multiplication,=6×88(8a+4)+3a(8a+4)8(8a+4)=488(8a+4)+24a2+12a8(8a+4)=48+24a2+12a8(8a+4)=12+6a2+3a2(8a+4)=6a2+3a+1216a+8