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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Grade 7 - Mathematics4.2 Factorization by Rearrangement of Terms

 Example: Factorize ax-by-ay+bx. Solution: Rearranging  the given terms, we have = ax-ay+bx-by = a(x-y) + b(x-y) = (a+b)(x-y) Therefore ax-by-ay+bx = (a+b)(x-y) Directions: Solve the following problems and show your work. Also write at least ten examples of your own.
 Q 1: Factorize cp + 6dq - 2cq - 3dp.(c-3d)(p-2q)(c-3d)(p+2q)(c+3d)(p-2q) Q 2: Factorize a - b - a2 + b2.(a+b)[1-(a+b)](a-b)[1-(a-b)](a+b)[1-(a-b)] Q 3: Factorize a + y + 1 + ay.(1+y)(a-1)(1+y)(a+1)(1-y)(a+1) Q 4: Factorize 5px - 10qy + 2rpx - 4qry.(px+2py)(5-2r)(px-2py)(5+2r)(px+2py)(5+2r) Q 5: Factorize mx + ly + my + lx.(l+m)(x-y)(l-m)(x-y)(l+m)(x+y) Q 6: Factorize x3 - 2y + 2x2 - xy.(x2+y)(x+2)(x2-y)(x+2)(x2-y)(x-2) Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!