Question

simplify these expression and find their values if x=3,p=-1,q=-2
10-3p-4+6q​

Answer 1

Step-by-step explanation:

If 3p - 2q = 10 and pq = -1, then find the value of 9p^2 + 4q^2

Solution -

3p - 2q \: = 103p−2q=10

{(3p - 2q)}^{2} = {10}^{2} (3p−2q)

2

=10

2

As we know, (a-b)^2 = a^2 + b^2 - 2ab

{(3p)}^{2} \: + {(2q)}^{2} + 2 \times 3p \times 2q \: = (3p)

2

+(2q)

2

+2×3p×2q=

{9p }^{2} + {4q}^{2} - 12pq9p

2

+4q

2

−12pq

As we know, pq = -1

{9p}^{2} + {4q}^{2} - 12 \times ( - 1)9p

2

+4q

2

−12×(−1)

{9p}^{2} + {4q}^{2} + 12 \: = 1009p

2

+4q

2

+12=100

{9p}^{2} + {4q}^{2} = 100 - 129p

2

+4q

2

=100−12

{9p}^{2} + {4q}^{2} = 889p

2

+4q

2

=88

Answer = 9p^2 +4q^2 = 88

Hope it helps u

Answer 2

Answer:

10-(3× -1)-4+(6× -2)

=10-(-3)-4+(-12)

=10+3-4-12

=13-16

=-3