Question

plz answer very urgent .....​

Answer 1

$a.$

${983}^{2} - {17}^{2}$

Its is in the form

$\blue{ \boxed{{a}^{2} - {b}^{2} = (a + b)(a - b)}}$

$\implies {983}^{2} - {17}^{2} = (983 + 17)(983 - 17)$

$\implies (1000)(966)$

$\orange{ \boxed{\therefore {983}^{2} - {17}^{2} = 966000}}$

$b.$

${(2x + 5)}^{2}$

Its in the form of

$\blue{ \boxed{(a + b)^{2} = {a}^{2} + {b}^{2} + 2(a)(b)}}$

$\implies {(2x)}^{2} + {5}^{2} + 2(2x)(5)$

$\implies 4 {x}^{2} + 20x + 25$

Using quadratic formula

$\blue{ \boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }}$

Here,

• a=4
• b=20
• c=25

$\implies x = \frac{ - 20± \sqrt{ {20}^{2} - 4(4)(25)} }{2(4)}$

$\implies x = \frac{ - 20± \sqrt{ 400 - 400} }{8}$

$\implies x = \frac{ - 20}{8}$

$\orange{ \boxed{\therefore x = \frac{ - 5}{2} }}$

HOPE THAT HELPS!!

Answer 2

Answer:

a) (a^2- b^2) = ( a+b) ( a-b)

983^2- 17^2 = ( 983+17) ( 983-17)

= 1000 *966

= 966000

b) ( a+b)^2 = a^2+2ab+b^2

(2x+5)^2=(2x)^2+2*2x*5+(5)^2

=4x^2+20x+25

Step-by-step explanation:

Hope this helps you..........