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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Grade 7 - Mathematics4.47 Multiplication of a Multinomial by a Monomial (Geometrical Proof)

#### Multiplication of a Multinomial by a Monomial

Suppose AB = a units, BC = b units, CD = c units, AH = k units
Therefore AD = AB + BC + CD = (a + b + c)units
= (a + b + c) * k sq. units    ..........I
= Area of rectangle ABGH + Area of rectangle BCFG + Area of rectangle CDEF
= (AB * AH) + (BC * CF) + (CD * DE)
= (a.k + b.k + c.k) sq. units    ..........II
Results I and II give the are of the same rectangle ADEH
Therefore from I and II

(a + b + c) * k = (a.k + b.k + c.k)

Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: 15(3x+5y+2z) = _____?Answer: Q 2: 16(2x+3y+z) = _____?Answer: Q 3: 7(7x+6y+9z) = _____?Answer: Q 4: 12(3x+6y+4z) = _____?Answer: Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!