Expand the following products. (i) (3 + u) (v - 3) (ii) 2/3(15 + 6a) (iii) (10a + b) (10c + d) Class 8

Expand the following products. (i) (3 + u) (v - 3) (ii) 2/3(15 + 6a) (iii) (10a + b) (10c + d) Class 8

Question 1.

Expand the following products. Class 8

(i) (3 + u) (v - 3)

(ii) [latex]\frac{2}{3}[/latex](15 + 6a)

(iii) (10a + b) (10c + d)

(iv) (3 - x) (x - 6)

(v) (-5a + b) (c + d)

(vi) (5 + z) (y + 9)

Solution:

(i) (3 + u) (v - 3) = 3v - 9 + uv - 3u

(ii) [latex]\frac{2}{3}[/latex](15 + 6a) = [latex]\frac{2}{3}[/latex] × 5 + [latex]\frac{2}{3}[/latex] × 6a = 10 + 4a

(iii) (10a + b) (10c + d)

= 10a (10c + d) + b (10c + d)

= 100ac + 10ad + 10bc + bd

(iv) (3 - x) (x - 6)

= 3 (x — 6) — x (x — 6)

= 3x - 18 - x² + 6x = 9x - 18 - x²

(v) (-5a + b) (c + d)

= -5a (c + d) + b (c + d)

= -5ac - 5ad + bc + bd

(vi) (5 + z) (y + 9) = 5 (y + 9) + z (y + 9)

= 5y + 45 + yz + 9z