New Learning Composite Mathematics SK Gupta Anubhuti Gangal Class 8 Algebraic Expressions Self Practice 5H Solution
(1) (a) a + 4
(b) 3a + 1
(c) 5m + 3
(d) 6x + 7y
(e) 3ab + 2c
(f) 2xy + 7z2
(g) m2 + n2
(h) x2y + 3
(2) (i) k -7
(ii) 5y – 1
(c) 3x – 8
(d) 6b – 7c
(e) 5mn – 2p
(f) 3x2 – 4z
(g) 5x3 – 3y2
(h) 9a2 – bc
(3) Find the product.
(a) (x + 6) (x – 6)
(b) (p + 9) (p – 9)
(c) (4y + 7) (4y – 7)
(d) (6x + 7y) (6x – 7y)
(e) (3x2 – 5y) (3x2 + 5y)
(f) (y – x2) (x2 + y)
(g) (x2 – y2) (x2 + y2)
(h) (a2 + bc) (a2 – bc)
(4) Using the identity for square for a binomial, evaluate the following.
(i) (105)2
(ii) (401)2
(iii) (708)2
(iv) 982
(v) (199)2
(vi) (10.3)2
(vii) (1.99)2
(viii) (2.1)2 + (1.9)2
SOLUTION Number 1, 2, 3 & 4:
(5) Using the identity for difference of two squares, evaluate the following.
(a) 18 x 22
(b) 51 x 49
(c) 101 x 99
(6) Evaluate:
(a) 298 x 298 – 205 x 205 / 93
(b) 19.67 x 19.67 – 15.33 x 15.33 / 0.434
(7) Write a polynomial for the total area of the figure.
(8) What is the area of the swimming pool?
SOLUTION Number 5, 6, 7 & 8:
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Thank you so much sir