Question

Find value using appropriate algebraic identities.
152²-148²
give me answer​

Answer 1

Answer:

1800

Step-by-step explanation:

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

(153-147) (153+147)

6×300

=1800

Answer 2

Given:

152²-148²

To Find:

Find the value using appropriate algebraic identities.

Solution:

Algebraic identities are algebraic equations that are true for every equation and value of the variables. They can be used for factorization and the left side of the equation is equal to the right side of the equation. They contain constants and variables.

To solve the above equation we will an algebraic identity which is,

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

We can also prove this identity by opening the brackets on the right side and multiplying each variable, we have,

$a^2-b^2=(a+b)(a-b)\\=a^2+ba-ab-b^2\\=a^2-b^2$

Hence, proved.

Now solving the given equation 152²-148²

$=152^2-148^2\\=(152-148)(152+148)\\=4*300\\=1200$

Hence, the value of 152²-148² is 1200.