Worksheet on the Square of a Trinomial

Practice the questions given in the worksheet on the square of a trinomial. To find the square of the sum of three or more terms can be determined by the formula of the identities of the square of sum of two terms.

See the formulas to expand using the identities for the square of a trinomial.

1. Expand each of the following.

(a) (x + 3y + 5z)2

(b) (-2x + y + 4z)2

(c) (-x – 3y + 5z)2

(d) (2a + 3b – 4c)2

(e) (4a – 7b – 2c)2







(f) (7a – 9b + 3c)2

(g) (5l + 3m – 4n)2

(h) (-2l + m – 9n)2

(i) (2l + m – 3n)2

(j) (p + 4q + 5)2

(k) (5x + 3/2 y + z)2

(l) (8x – y + 1/4 z)2

(m) (1/9 a – 1/3 b + 10)2

(n)(-a – 1/3 b – 5)2


2. Simplify the following

(a) (x – y – z)2 + (x + y + z)2

(b) (x – y + z)2 – (x – y- z)2

(c) (3l – 2m + n)2 + (3l – 2m – 2)2

(d) (√2 + 3p + 3√2r)2 – (√2 – 3p – 3√2r)2

(e) (5a - 1/3 b + 4c)2 – (5a + 1/3 b – 4c) 2


3. (a) If a + b + c = 10 and ab + bc + ca = 24, find the value of a2 + b2 + c2.

(b) If a + b + c = 15 and a2 + b2 + c2 = 42, find ab + bc + ca.

(c) If a2 + b2 + c2 = 49 and ab + bc + ca = 36, find a + b + c.






Answers for the worksheet on the square of a trinomial are given below to check the exact answers of the above expansion.


Answers:


1. (a) x2 + 9y2 + 25z2 + 6xy + 30yz +10 xz

(b) 4x2 + y2 + 16z2 – 4xy + 8yz – 16zx

(c) x2 + 9y2 + 25z2 + 6 xy – 30yz -10zx

(d) 4a2 + 9b2 + 16c2 + 12ab – 24bc – 16ca

(e) 16a2 + 49b2 + 4c2 – 56ab + 28bc – 16ca

(f) 49a2 + 81b2 + 9c2 – 126ab – 54bc + 42ac

(g) 25l2+ 9m2 + 16n2 30lm – 24mn – 40nl

(h) 4l2 + m2 + 81n2 – 4lm – 18mn + 36nl

(i) 4l2 + m2 + 9n2 + 4lm – 6mn -12nl

(j) p2 + 16q2 + 25 + 8pq + 40q + 10p

(k) 25x2 + 4/9 y2 + z2 + 15xy + 3yz + 10zx

(l) 64x2 + y2 + 1/16 z2 – 16xy – 1/2yz + 4zx

(m) 1/81 a2 + 1/9 b2 + 100 – 2/27ab – 20/3b + 20/9a

(n) a2 + 1/9 b2 + 25 + 2/3 ab + 10/3 b + 10a


2. (a) 2x2 + 2y2 + 2z2 + 4yz

(b) 4xz – 4yz

(c) 18l2 + 8m2 + 2n2 – 24 lm

(d) 12√2p + 24r

(e) -20/3 ab + 80ac


3. (a) 52

(b) 183/2

(c) ± 11










Math Home Work Sheets

7th Grade Math Problems

8th Grade Math Practice

From Worksheet on The Square of a Trinomial to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.