Evaluate the following product without multip | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) To evaluate $78 	imes 84$ using algebraic identities,we can express the numbers as:$78 = (80 - 2)$$84 = (80 + 4)$Using the identity $(x + a)(x +

Vedclass · Accepted Answer

$6552$

Vedclass · Answer

(B) To evaluate $78 	imes 84$ using algebraic identities,we can express the numbers as:$78 = (80 - 2)$$84 = (80 + 4)$Using the identity $(x + a)(x + b) = x^2 + (a + b)x + ab$,where $x = 80$,$a = -2$,and $b = 4$:$(80 - 2)(80 + 4) = (80)^2 + (-2 + 4)(80) + (-2)(4)$$= 6400 + (2)(80) - 8$$= 6400 + 160 - 8$$= 6560 - 8$$= 6552$

Evaluate the following product without multiplying directly:
$78 \times 84$

Similar Questions

Factorise $6x^{3} + 7x^{2} - 14x - 15$.

Evaluate the following product without multiplying directly: $84 \times 79$

Factorise $16 x^{2}-16 x-21$.

Factorise $4 x^{2}+9 y^{2}+49 z^{2}-12 x y+42 y z-28 z x$.

Factorise:
$2 x^{2}-7 x-15$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Evaluate the following product without multiplying directly:$78 \times 84$