Find the missing term: y2 + (...)x + 56 = (y + 7)(y + ...)

Find the missing term: y² + (...)x + 56 = (y + 7)(y + ...)

योग

We have (x + a)(x + b) = x² + (a + b)x + ab

56 = 7 × 8

∴ y² + (7 + 8)x + 56 = (y + 7)(y + 8)

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अध्याय 3: Algebra - Exercise 3.5 [पृष्ठ ९७]

अध्याय 3 Algebra
Exercise 3.5 | Q 8 | पृष्ठ ९७

Factorize each of the following expression:
125x² − 45y²

Factorize each of the following expression:
144a² − 169b²

Factorize each of the following expression:
3a⁵ − 48a³

Factorize each of the following expression:
(3x + 4y)⁴ − x⁴

Factorize each of the following expression:
a⁴b⁴− 16c⁴

Factorize each of the following expression:
a⁴ − 16(b − c)⁴

Factorize each of the following expression:
18a²x² − 32

Factorize each of the following quadratic polynomials by using the method of completing the square:
4y² + 12y + 5

Factorize each of the following quadratic polynomials by using the method of completing the square:
p² + 6p − 16