Question

3. Multiply: (3/4 a² + 3b² ) and 4(a² -2/3b²)

Answer 1

Step-by-step explanation:

Expression Term Coefficient

i) 5xyz2 – 3zy Term: 5xyz2

Term: -3zy

5 -3

ii) 1 + x + x2 Term: 1

Term: x

Term: x2 1 1 1

iii) 4x2y2 – 4x2y2z2 + z2 Term: 4x2y2

Term: -4 x2y2z2

Term : z2 4 -4 1

iv) 3 – pq + qr – p Term : 3 -pq qr -p 3 -1 1 -1

v) (x/2) + (y/2) – xy Term : x/2 Y/2 -xy ½ 1/2 -1

vi) 0.3a – 0.6ab + 0.5b

Example- 2p2q2 – 3pq + 4, 5 + 7pq – 3p2q2

= (2p2q2 – 3pq + 4) + (5 + 7pq – 3p2q2)

= 2p2q2 – 3p2q2 – 3pq + 7pq + 4 + 5

= – p2q2 + 4pq + 9

iv)(l2 + m2) + (m2 + n2) + (n2 + l2) + (2lm + 2mn + 2nl)

= l2 + l2 + m2 + m2 + n2 + n2 + 2lm + 2mn + 2nl

= 2l2 + 2m2 + 2n2 + 2lm + 2mn + 2nl