Question

4x²- 8xy - 21y². solve it by splitting the middle term
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Answer 1

Answer:

(2x-7y)(2x+3y)

Step-by-step explanation:

Solution : Solve by splitting the middle term

→ 4x²- 8xy - 21y²

→ (2×2)x²- (14-6)xy - (7×3)y²

→ (2x-7y)(2x+3y)

Answer 2

The factors of the expression $4x^{2}-8xy-21y^{2}$ are (2x - 3y)(2x - 7y).

Step-by-step explanation:

The expression is:

$4x^{2}-8xy-21y^{2}$

Factorize the expression by splitting the middle term as follows:

$4x^{2}-8xy-21y^{2}=4x^{2}+6xy-14xy-21y^{2}$

                           $=2x(2x+3y)-7y(2x+3y)\\=(2x+3y)(2x-7y)$

Thus, the factors of the expression $4x^{2}-8xy-21y^{2}$ are (2x - 3y)(2x - 7y).

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