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:
(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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