Question

7) Use the formula to find the value. 54 × 46

a) 2500

b) 2496

c) 9996

d) 2484​

Answer 1

Answer:

$\longrightarrow$ d) 2484

Step-by-step explanation:

$\bigstar$ $\large\pmb{\mathfrak{To \ Find:-}}$

$\implies$ Value of 54 × 46 using formula.

$\underline\mathtt{\red{Let's \ rock \ it!!}}$

$\bigstar$ $\large\mathtt{\blue{Solution:-}}$

(54) × (46) can also be written as (50 + 4)(50 - 4)

$\implies$ Let 50 be a and 4 be b

Then, We have;

(a + b)(a - b) and we know that (a + b)(a - b) = ${a}^{2}$ - ${b}^{2}$

$\implies$ (50 + 4)(50 - 4) = ${50}^{2}$ - ${4}^{2}$

$\implies$ 2500 - 16

$\implies$ 2484

Hence, 2484 is the correct answer.

$\bigstar$ $\large\pmb{\mathfrak{More \ to \ know :-}}$

• ${(a + b)}^{2}$ = ${a}^{2}$ + ${b}^{2}$ + 2ab

• ${(a - b)}^{2}$ = ${a}^{2}$ + ${b}^{2}$ - 2ab

• ${(a)}^{2}$ - ${(b)}^{2}$ = (a + b)(a - b)

• (x + a)(x - b) = ${x}^{2}$ + (a+b)x + ab

• ${(a+b+c)}^{2}$ = ${a}^{2}$ + ${b}^{2}$ + ${c}^{2}$ + 2ab + 2bc + 2ac

Answer 2

Step-by-step explanation:

$More to know:−More to know:−</p><p></p><p>{(a + b)}^{2}(a+b)2 = {a}^{2}a2 + {b}^{2}b2 + 2ab</p><p></p><p>{(a - b)}^{2}(a−b)2 = {a}^{2}a2 + {b}^{2}b2 - 2ab</p><p></p><p>{(a)}^{2}(a)2 - {(b)}^{2}(b)2 = (a + b)(a - b)</p><p></p><p>(x + a)(x - b) = {x}^{2}x2 + (a+b)x + ab</p><p></p><p>{(a+b+c)}^{2}(a+b+c)2 = {a}^{2}a2 + {b}^{2}b2 + {c}^{2}c2 + 2ab + 2bc + 2ac$