Question

13. Using suitable identity find:

i) (a^2 + bc) (a^2 – bc)

ii) (3/2 – 5/4)^2

Answer 1

Answer:

1. $a^{4}$ - (bc)²

2. ($\frac{3}{2}$)² + ($\frac{5}{4}$)² - 2($\frac{3}{2}$)($\frac{5}{4}$)

Step-by-step explanation:

1. (a² + bc)(a² - bc)

Identity:  x² - y² = (x+y)(x=y)

[Use different variables when a and b are used in the Q.]

Consider a² as x and bc as y.

=(a²)² - (bc)²

= $a^{4}$ - (bc)²

2. ( $\frac{3}{2}$ - $\frac{5}{4}$ )²

Identity: (a-b)² = a² + b² - 2ab

=($\frac{3}{2}$)² + ($\frac{5}{4}$)² - 2($\frac{3}{2}$)($\frac{5}{4}$)

[You can simplify 2($\frac{3}{2}$)($\frac{5}{4}$) further or leave it]

Answer 2

Answer:

(a) a⁴ - b²c²

(b) -3/2

Step-by-step explanation:

explaination is above..

hope it helps you..