Worksheet on Multiplying Monomial and Binomial

Practice the questions given in the worksheet on multiplying monomial and binomial. The questions are based on multiplication of a binomial by a monomial and multiplication of a monomial by a binomial.

1. Multiply a binomial by a monomial:

(i) (x + y) by xy

(ii) (4xy – 3x) by 2xy

(iii) (5ab + 2b) by 2ab

(iv) (2x + 6y) by 5xy

(v) (2xy + 5xz) by xyz

(vi) (-3xy2 + 5x2y) by 2xy

(vii) (-a – b) by (-ab)

(viii) (-x2y - 3x2y2) by 2x2y

(ix) (-3ab2 + 4a2b) by (-ab)

(x) (2abc + 3ac) by (-2a2b)


2. Multiply a monomial by a binomial:

(i) 4xy × (2xy + 3)

(ii) (-2xy) × (x + y2)

(iii) 2x2y3 × (x + y)

(iv) abc × (a2b2 + b2c2)

(v) (-5acb) × (a + b)

(vi) 10abc2 × (b + c)

(vii) 8xyz × (xyz – 2x2y2z2)

(viii) (-10mn2) × (5m – 3n)

(ix) p2 × (7pq – 8r)

(x) (1/6)a × (3a + 4ab)


3. Find the product of:

(i) a(1 + a2)

(ii) (-x2) (1 – x)

(iii) 2m2(5m + 3n)

(iv) a2b(a2 + b2c)

(v) (-12xyz) (3xy + 4yz)

(vi) (-3pq) (p – q)


Answers for the worksheet on multiplying monomial and binomial are given below to check the exact answers of the above multiplication.


Answers:


1. (i) x2y + xy2

(ii) 8x2y2 – 6x2y

(iii) 10a2b2 + 4ab2

(iv) 10x2y + 30xy2

(v) 2x2y2z + 5x2yz2

(vi) -6x2y3 + 10x3y2

(vii) a2b + ab2

(viii) -2x4y2 – 6x4y3

(ix) 3a2b3 – 4a3b2

(x) -4a3b2c – 6a3bc



2. (i) 8x2y2 + 12xy

(ii) -2x2y – 2xy3

(iii) 2x3y3 + 2x2y4

(iv) a3b3c + ab3c3

(v) -5a2bc - 5ab2c

(vi) 10ab2c2 + 10abc3

(vii) 8x2y2z2 – 16x3y3z3

(viii) -50m2n2 + 30mn3

(ix) 7p3q – 8p2r

(x) (1/2)a2 + (2/3)a2b



3. (i) a + a3

(ii) -x2 + x3

(iii) 10m3 + 6m2n

(iv) a4b + a2b3c

(v) -36x2y2z – 48xy2z2

(vi) -3p2q + 3pq2

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